U.S. House Republicans will choose a new leader next week, under a plan announced on Wednesday by retiring House Speaker John Boehner, while right-wing hardliners gave a chilly reception to Paul Ryan's possible bid to become the next House speaker.
Conservative party members were refusing to fall in line behind Ryan, the 2012 Republican vice presidential candidate, after he said he would run under certain conditions to replace Boehner.
After a closed meeting of House Republicans, Boehner told reporters he supported Ryan to be the next speaker.
The struggle ensued as deadlines fast approached for Congress to act on critical debt and budget issues, with U.S. Treasury Secretary Jack Lew saying he feared a fiscal policy "accident" on Capitol Hill.
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After a closed meeting of House Republicans, John Boehner told reporters he supported Ryan to be the next speaker.
Boehner, who said last month that he would step down at the end of October, set a party vote for a new speaker on Oct. 28 and a vote by the full House of Representatives on Oct. 29.
Ryan said on Tuesday he would consider becoming speaker if fractious Republicans united behind him, among other conditions. He gave his colleagues until week's end to decide.
Much will depend on the attitude of the Freedom Caucus, a small but vocal group of Republican conservatives who played a key role in driving Boehner from his post, and in pushing No. 2 House Republican Kevin McCarthy to exit the succession race.
Members of the faction still back their own contender for speaker, Representative Daniel Webster of Florida, said some members of the caucus on Wednesday.
Representative Jim Jordan, head of the Freedom Caucus, told reporters his group would meet with Ryan later on Wednesday.
Photos of Paul Ryan, the potential new House speaker:
Paul Ryan through his career
Voting for House speaker set, right-wingers cool to Ryan
Speaker of the House Denis Hastert (L) administers the oath of office to Rep. Paul Ryan (R) of Wisconsin as his family looks on January 6, 1999 at the start of the 106th Congress. The oath is a recreation as the formal oath is administered to the entire congress as a body on the floor of the House. (photo by Rex Banner)
UNITED STATES - DECEMBER 12: Rep. Paul Ryan, R-Wis., speaks at a news conference in which House Republican leaders called for Permanent Tax Relief. (Photo By Tom Williams/Roll Call/Getty Images)
KRT US NEWS STORY SLUGGED: SOCIALSECURITY-DISCUSSION KRT PHOTOGRAPH BY GEORGE BRIDGES/KRT (April 14) Conversation on Social Security between Rep. Paul Ryan (R-WI), shown, and William Novelli, head of AARP, April 5, 2005 (lde) 2005 (Photo by George Bridges/MCT/MCT via Getty Images)
In this photo taken Dec. 1, 2015, House Speaker Paul Ryan of Wis. speaks on Capitol Hill in Washington.Talks on a massive, government-wide spending bill hit a snag Wednesday as Republicans pressed demands to block new power plant rules, weaken financial services regulations and make it more difficult for Syrian and Iraqi refugees to enter the U.S. (AP Photo/J. Scott Applewhite)
UNITED STATES - JULY 22: MEDICARE BRIEFING--Rep. Paul Ryan, R-Wisc., speaks at a Cato Institute briefing on Medicare reform in the Rayburn House Office Building. Tom Miller, director of Health Policy Studies at Cato, looks on. (Photo by Scott J. Ferrell/Congressional Quarterly/Getty Images)
WASHINGTON - SEPTEMBER 24: Rep. Paul Ryan (R-WI) questions Peter Orszag, director of the Congressional Budget Office, during a hearing on Capitol Hill about the impact of recent market turmoil on the federal budget on September 24, 2008 in Washington, DC. Orszag reported that while the impact is currently unknown, it is likely to be substantially less than $700 billion. (Photo by Brendan Hoffman/Getty Images)
WASHINGTON - APRIL 27: House Budget Committee ranking member Rep. Paul Ryan (R-WI) (R) delivers an opening statement during a conference committee meeting with Senate Budget Committee Chairman Kent Conrad (D-ND) (L) and House Budget Committee Chairman John Spratt (D-SC) in the U.S. Capitol April 27, 2009 in Washington, DC. House and Senate lawmakers have already struck a tentative deal on the FY2010 budget resolution and they hope to file a conference report after today's meeting. (Photo by Chip Somodevilla/Getty Images)
WASHINGTON - MARCH 19: (L-R) U.S. House Minority Whip Rep. Eric Cantor (R-VA), Rep. Dave Camp (R-MI) and Rep. Paul Ryan (R-WI) listen during a news conference on the health care legislation March 19, 2010 on Capitol Hill in Washington, DC. The House will vote on the Health Care Reform Legislation on Sunday, March 21. (Photo by Alex Wong/Getty Images)
Representative Paul Ryan, a Republican from Wisconsin and chairman of the House Budget Committee, speaks during a news conference at the U.S. Capitol in Washington, D.C., U.S., on Tuesday, April 5, 2011. U.S. House Republicans today unveiled a plan to overhaul the federal budget and slash the deficit in coming years by about three-quarters, with a $6-trillion cut in spending and 25 percent cap on tax rates. Photographer: Joshua Roberts/Bloomberg via Getty Images
MEET THE PRESS -- Pictured: Rep. Paul Ryan (R-WI) left, and moderator David Gregory, right, appear on 'Meet the Press' in Washington, D.C., Sunday, April 10, 2011. (Photo by William B. Plowman/NBC/NBCU Photo Bank via Getty Images)
MILWAUKEE, WI - APRIL 01: Republican Presidential candidate, former Massachusetts Gov. Mitt Romney (R) jokes with U.S. Rep Paul Ryan (C) (R-WI) during a pancake brunch at Bluemound Gardens on April 1, 2012 in Milwaukee, Wisconsin. With less than a week before the Wisconsin primary, Mitt Romney continues to campaign through the state. (Photo by Justin Sullivan/Getty Images)
WASHINGTON, DC - APRIL 26: House Budget Chairman Rep. Paul Ryan (R-WI) is introduced before speaking about 'America's Enduring Promise,' and the federal budget, in a speech at Georgetown University April 26, 2012 in Washington, DC. During his speech, Ryan said that his proposed budget confronts the nation's growing $15 trillion debt before it impacts future generations of Americans. (Photo by Win McNamee/Getty Images)
NORFOLK, VA - AUGUST 11: Republican presidential candidate, former Massachusetts Gov. Mitt Romney (L) jokes with Rep. Paul Ryan (R-WI) (R) after announcing him as the 'next PRESIDENT of the United States' during an event announcing him as his running mate in front of the USS Wisconsin August 11, 2012 in Norfolk, Virginia. Ryan, a seven term congressman, is Chairman of the House Budget Committee and provides a strong contrast to the Obama administration on fiscal policy. (Photo by Win McNamee/Getty Images)
UNITED STATES - SEPTEMBER 14: Rep. Paul Ryan, R-Wis., Vice Presidential candidate, waves to the crowd after addressing the Values Voter Summit at the Omni Shoreham Hotel in Woodley Park. Photo By Tom Williams/CQ Roll Call)
NEWPORT NEWS, VA - SEPTEMBER 18: Republican vice presidential candidate, U.S. Rep. Paul Ryan (R-WI), pauses as he speaks during a campaign rally at Christopher Newport University September 18, 2012 in Newport News, Virginia. Ryan continued to campaign for the upcoming presidential election. (Photo by Alex Wong/Getty Images)
MIAMI, FL - SEPTEMBER 22: Republican vice presidential candidate, U.S. Rep. Paul Ryan (R-WI) hugs waitress, Lourdes Alcerro, during a campaign stop at Versailles restaurant in the Little Havana neighborhood on September 22, 2012 in Miami, Florida. Ryan continues to campaign for votes across the country. (Photo by Joe Raedle/Getty Images)
Republican presidential candidate Mitt Romney (R) and running-mate Paul Ryan share a laugh as they are introduced at a campaign rally September 25, 2012 at Dayton International Airport in Vandalia, Ohio. AFP PHOTO/Mandel NGAN (Photo credit should read MANDEL NGAN/AFP/GettyImages)
Representative Paul Ryan, a Republican from Wisconsin, arrives at a news conference on Capitol Hill in Washington, D.C., U.S., on Tuesday, Oct. 20, 2015. Ryan said he'd be willing to run for speaker of the U.S. House if Republicans unify behind him now, end leadership crises and let him continue spending time with his family. Photographer: Andrew Harrer/Bloomberg via Getty Images
Representative Paul Ryan, a Republican from Wisconsin and chairman of the House Ways and Means Committee, center right, walks down the steps of the U.S. Capitol building following a vote in Washington, D.C., U.S., on Friday, Oct. 9, 2015. Ryan is under heavy pressure from fellow Republicans to run for U.S. House speaker after a hard-line faction forced Speaker John Boehner to resign and his top lieutenant to drop out of the race. Photographer: Andrew Harrer/Bloomberg via Getty Images
Rep. Paul Ryan, R- Wis., leaves his office before a House GOP meeting, Tuesday, Oct. 20, 2015, on Capitol Hill in Washington. (AP Photo/Andrew Harnik)
Representative Paul Ryan, a Republican from Wisconsin, walks to a meeting in the basement of the U.S. Capitol in Washington, D.C., U.S., on Tuesday, Oct. 20, 2015. Ryan is set to meet with a group of House conservatives Tuesday as he weighs a potential run to replace Speaker John Boehner under pressure from fellow Republicans. Photographer: Andrew Harrer/Bloomberg via Getty Images
Rep. Paul Ryan, R- Wis. leaves his office before a House GOP meeting, Tuesday, Oct. 20, 2015, on Capitol Hill in Washington. (AP Photo/Andrew Harnik)
Representative Paul Ryan, a Republican from Wisconsin and chairman of the House Ways and Means Committee, center, talks to the media after walking out of the U.S. Capitol building following a vote in Washington, D.C., U.S., on Friday, Oct. 9, 2015. Ryan is under heavy pressure from fellow Republicans to run for U.S. House speaker after a hard-line faction forced Speaker John Boehner to resign and his top lieutenant to drop out of the race. Photographer: Andrew Harrer/Bloomberg via Getty Images
Rep. Paul Ryan, R- Wis. leaves his office before a House Republican meeting, Tuesday, Oct. 20, 2015, on Capitol Hill in Washington. (AP Photo/Andrew Harnik)
UNITED STATES - OCTOBER 20 - Rep. Paul Ryan, R-Wis., speaks at a news conference following a House Republican meeting, on Capitol Hill in Washington, Tuesday, Oct. 20, 2015. Ryan is stating that he will run for speaker only if he receives enough GOP support by the end of the week. (Photo By Al Drago/CQ Roll Call)
Rep. Paul Ryan, R-Wis., center, speaks to reporters on Capitol Hill in Washington, Wednesday, Oct. 21, 2015, following meetings with House Republican leaders and the Freedom Caucus members. Ryan seeking unity in a place it's rarely found, is telling House Republicans he will serve as their speaker only if they embrace him by week's end as their consensus candidate. (AP Photo/Manuel Balce Ceneta)
US Speaker of the House Paul Ryan, Republican of Wisconsin, awaits the arrival of Israeli President Reuven Rivlin for a meeting at the US Capitol in Washington, DC, December 10, 2015. AFP PHOTO / SAUL LOEB / AFP / SAUL LOEB (Photo credit should read SAUL LOEB/AFP/Getty Images)
WASHINGTON, DC - DECEMBER 10: House Speaker Paul Ryan (R-WI) holds his weekly press briefing on Capitol Hill on December 10, 2015 in Washington, D.C. Paul Ryan spoke on topics including Donald Trump and the spending bill. (Photo by Allison Shelley/Getty Images)
WASHINGTON, DC - DECEMBER 15: Speaker of the House Paul Ryan, (R-WI) speaks during a Politico interview at the Grand Hyatt on December 15, 2015 in Washington DC. Ryan was interviewed by Politico's Chief White House Correspondent Mike Allen during a Politico Playbook Breakfast. (Photo by Mark Wilson/Getty Images)
House Speaker Paul Ryan of Wis. welcomes Israeli President Reuven Rivlin on Capitol Hill in Washington, Thursday, Dec. 10, 2015. (AP Photo/J. Scott Applewhite)
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Idaho Republican Representative Raul Labrador, a caucus member, praised Ryan, but told reporters he still has reservations: "He could be a good speaker of the House. My only concern right now is it appears he is asking for more power to be in office instead of less power."
Lew said at a conference he is worried about brinkmanship in Congress on raising the nation's debt limit as the United States edges closer toward default.
The United States is currently scraping just under its $18 trillion legal debt cap and the Treasury Department expects to exhaust its borrowing authority by Nov. 3. "What I am most worried about ... is an accident, and accidents can happen when you play this last-minute brinkmanship game," Lew said.
Asked if the House will be organized in time to raise the debt ceiling, David Schweikert, an Arizona lawmaker, who belongs to the hard-right caucus, told National Public Radio: "Of course. The full faith and credit of the United States will be fine. It will be protected."
Oklahoma Republican Representative Tom Cole said he expects Ryan to win most conservatives' support this week but what will happen on the House floor is less clear.
"What Paul's pointed out is that we just have to operate by regular order ... and work as a team," Cole told MSNBC.
If Ryan decides against running, Republicans could face more chaos with no clear front-runner. "I am still supporting Dan Webster," Representative Louie Gohmert of Texas told reporters.
Photos of John Boehner during his time as speaker:
John Boehner during his time as speaker
Voting for House speaker set, right-wingers cool to Ryan
FILE - In this July 29,2015 file photo, House Speaker John Boehner of Ohio speaks during a news conference on Capitol Hill in Washington. According to GOP lawmakers, Boehner to step down end of October. (AP Photo/Susan Walsh, File)
House Speaker John Boehner of Ohio becomes emotional as Pope Francis appears on the Speaker's Balcony on Capitol Hill, Thursday, Sept. 24, 2015 and waves to the waiting crowd. The pope addressed a joint meeting of Congress before stepping out on the balcony. Between the pope and Boehner is Majority Leader Kevin McCarthy of California. (AP Photo/Susan Walsh)
WASHINGTON, DC - SEPTEMBER 24: Speaker of the House John Boehner (R-OH) (R) speaks with Pope Francis (L) in the U.S. Capitol building before the Pontiff speaks to a joint meeting of Congress September 24, 2015 in Washington, DC. Pope Francis will be the first Pope to ever address a joint meeting of Congress. The Pope is on a six-day trip to the U.S., with stops in Washington, New York City and Philadelphia. (Photo By Bill Clark-PoolGetty Images)
House Speaker John Boehner of Ohio speaks during a news conference on Capitol Hill in Washington, Wednesday, July 29, 2015. An effort by a conservative Republican to strip Boehner of his position as the top House leader is largely symbolic, but is a sign of discontent among the more conservative wing of the House GOP. On Tuesday, Rep. Mark Meadows of North Carolina, who was disciplined earlier this year by House leadership, filed a resolution to vacate the chair, an initial procedural step.(AP Photo/Susan Walsh)
FILE - In this June 28, 2015 file photo, House Speaker John Boehner of Ohio meets with reporters on Capitol Hill in Washington, to talk about the Supreme Court ruling on the Affordable Care Act. Having lost their latest war against President Barack Obamaâs health care overhaul, Republicans must decide how to wage battles that could fan the issue for the 2016 elections. (AP Photo/J. Scott Applewhite)
WASHINGTON, DC - MARCH 19: Speaker of the House John Boehner (R-OH) arrives for his weekly press conference at the U.S. Capitol on March 19, 2015 in Washington, DC. Boehner answered questions on the Republican budget, Hillary Clinton's emails, and other topics during the press conference. (Photo by Win McNamee/Getty Images)
House Speaker John Boehner of Ohio, left, kisses House Minority Leader Nancy Pelosi of Calif., right, in the Rose Garden of the White House before President Barack Obama's remarks to members of Congress, Tuesday, April 21, 2015 in Washington. Obama thanked those who supported H.R. 2, the Medicare Access and CHIP Reauthorization Act of 2015 to improve the affordability and quality of health care for the youngest and oldest in the nation. (AP Photo/Pablo Martinez Monsivais)
House Speaker John Boehner of Ohio listens during a news conference following a meeting on Capitol Hill in Washington, Wednesday, Feb. 25, 2015. Boehner said he's waiting for the Senate to act on legislation to fund the Homeland Security Department ahead of Friday's midnight deadline. (AP Photo/Susan Walsh)
House Speaker John Boehner of Ohio responds to reporters about the impasse over passing the Homeland Security budget because of Republican efforts to block President Barack Obama's executive actions on immigration, Thursday, Feb. 26, 2015, during a news conference on Capitol Hill in Washington. The House voted last month to end Homeland Security funding on Saturday unless Obama reverses his order to protect millions of immigrants from possible deportation. After Democratic filibusters blocked the bill in the Senate, the chamber's Republican leaders agreed this week to offer a "clean" funding measure, with no immigration strings attached. (AP Photo/J. Scott Applewhite)
House Speaker John Boehner of Ohio casts multiple shadows as he leaves the Rayburn Room on Capitol Hill in Washington, Tuesday, Jan. 6, 2015, after presiding over ceremonial re-enactments of the House swearing-in ceremony. (AP Photo/Jacquelyn Martin)
House Speaker John Boehner of Ohio, kisses House Minority Leader Nancy Pelosi of Calif. after being re-elected to a third term during the opening session of the 114th Congress, as Republicans assume full control for the first time in eight years, Tuesday, Jan. 6, 2015, on Capitol Hill in Washington. AP Photo/Pablo Martinez Monsivais )
House Speaker John Boehner of Ohio walks to the House chamber on Capitol Hill in Washington, Thursday, July 31, 2014, for final votes as Congress rushes for the doors and a five-week summer recess. The institutional split of a Republican-led House and Democratic-controlled Senate has added up to inaction, especially in a midterm election year with control of the Senate at stake. Lawmakers have struggled to compromise on a handful of bills to deal with the nation's pressing problems amid overwhelming partisanship. (AP Photo/J. Scott Applewhite)
House Speaker John Boehner of Ohio waits to speak on Capitol Hill in Washington, Tuesday, Sept. 9, 2014, following a Republican strategy session after returning from a five-week recess. Boehner said Islamic State militants are a serious threat that must be dealt with in Iraq, Syria or wherever they exist and insisted that no decision would be made on a congressional vote until President Barack Obama lays out his strategy to defeat the militants. Boehner and other congressional leaders are heading to the White House this afternoon for a meeting with Obama. (AP Photo/J. Scott Applewhite)
House Speaker John Boehner of Ohio tickles John Griffin III, son of Rep. Tim Griffin, R-Ark., outside his office, after a House vote, Thursday, Oct. 10, 2013, on Capitol Hill in Washington. Boehner said Thursday he will give President Barack Obama a proposal temporarily extending the government's ability to borrow money and averting a potential default _ but only if he agrees to negotiate over ending a partial government shutdown and a longer-term increase in the debt ceiling. (AP Photo/ Evan Vucci)
House Speaker John Boehner of Ohio, center, joined by fellow Republicans, speaks during a news conference on Capitol Hill in Washington, Thursday, Oct. 10, 2013, following a closed-door GOP meeting, to announce that House Republicans will advance legislation to temporarily extend the government's ability to borrow money to meet its financial obligations. From left are, Rep. Cathy McMorris Rodgers, R-Wash., Rep. Jeb Hensarling, R-Texas, Boehner, House Majority Whip Kevin McCarthy of Calif., Rep. Virginia Foxx, R-N.C., Rep. Ann Wagner, R-Mo., and Rep. Lynn Jenkins, R-Kansas. The federal government remains partially shut down for a 10th day and faces a first-ever default between Oct. 17 and the end of the month. (AP Photo/J. Scott Applewhite)
House Speaker John Boehner of Ohio walks to a House Republican Conference meeting to discuss the ongoing budget fight, Monday, Sept. 30, 2013, on Capitol Hill in Washington. Republican unity showed unmistakable signs of fraying Monday as Democrats and the White House vowed to reject tea party-driven demands to delay the nation's health care overhaul as the price for averting a partial government shutdown at midnight. (AP Photo/ Evan Vucci)
House Speaker John Boehner, of Ohio, speaks to reporters on Capitol Hill in Washington, Thursday, Sept. 26, 2013, after a closed-door strategy session. Pressure is building on fractious Republicans over legislation to prevent a partial government shutdown, as the Democratic-led Senate is expected to strip a tea party-backed plan to defund the Affordable Care Act, popularly known as "Obamacare," from their bill. Boehner originally preferred a plan to deliver to President Obama a stopgap funding bill without the provision to eliminate the health care law. (AP Photo/J. Scott Applewhite)
Speaker of the House John Boehner, R-Ohio, leaves after a three hour photo session with members of the new 113th Congress that convened on Thursday, Jan. 3, 2013, in Washington. (AP Photo/J. Scott Applewhite)
President Barack Obama gestures while giving his State of the Union address on Capitol Hill in Washington, Tuesday, Jan. 24, 2012. Vice President Joe Biden and House Speaker John Boehner of Ohio listen at rear. (AP Photo/J. Scott Applewhite)
President Barack Obama and House Speaker John Boehner, R-Ohio, are on the first green as they play golf at Andrews Air Force Base, Md., Saturday, June 18, 2011. (AP Photo/Charles Dharapak)
Following a meeting with President Barack Obama today, House Speaker John Boehner of Ohio, accompanied by House Majority Whip Kevin McCarthy, R-Calif., talks about the budget, Tuesday, April 5, 2011, on Capitol Hill in Washington. (AP Photo/J. Scott Applewhite)
House Speaker John Boehner, R-Ohio, and Senate Majority Leader Harry Reid, D-Nev., walk out to speak to reporters after their meeting at the White House in Washington with President Obama regarding the budget and possible government shutdown, Wednesday, April 6, 2011. (AP Photo/Charles Dharapak)
House Speaker-designate John Boehner of Ohio wipes away tears as he waits to receive the gavel from outgoing House Speaker Nancy Pelosi of Calif. during the first session of the 112th Congress, on Capitol Hill in Washington, Wednesday, Jan. 5, 2011. (AP Photo/Charles Dharapak)
House Republican leader John Boehner of Ohio celebrates the GOP's victory that changes the balance of power in Congress and will likely elevate him to speaker of the House, during an election night gathering hosted by the National Republican Congressional Committee at the Grand Hyatt hotel in Washington, Tuesday, Nov. 2, 2010. (AP Photo/Cliff Owen)