Report: Trump has sent messages of 'appreciation and greetings' to Robert Mueller

Despite his criticisms of the ongoing Russia investigation, President Trump has reportedly "sent private messages of 'appreciation' to special counsel Robert Mueller."

USA Today, which broke the story, adds that Trump's chief counsel John Dowd confirmed in a recent interview, "The president has sent messages back and forth."

Though Dowd didn't specify the contents of the communications, he indicated they included "appreciation and greetings."

The lawyer also told the news outlet, "[The president] appreciates what Bob Mueller is doing. He asked me to share that with him and that's what I've done."

RELATED: Members past and present of President Trump's inner circle

28 PHOTOS
Members past and present of President Trump's inner circle
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Members past and present of President Trump's inner circle
Steve Bannon: Former White House chief strategist, soon to be out of his role
Ivanka Trump: First daughter and presidential adviser
Jared Kushner: Son-in-law and senior adviser
Gen. John Kelly: Former Secretary of Homeland Security, current White House chief of staff
Kellyanne Conway: Former Trump campaign manager, current counselor to the president
Reince Priebus: Former White House chief of staff, no longer with the Trump administration
Anthony Scaramucci: Former White House communications director, no longer with the Trump administration
Sarah Huckabee Sanders: White House press secretary
Donald Trump Jr.: First son to President Trump
Sean Spicer: Former White House press secretary, soon to be no longer with the Trump administration
Jeff Sessions: U.S. attorney general
Steve Mnuchin: Secretary of Treasury
Paul Manafort: Former Trump campaign chairman
Carter Page: Former foreign policy adviser to Trump's presidential campaign
Omarosa Manigault: Director of communications for the Office of Public Liaison
Melania Trump: Wife to President Trump and first lady of the United States
Jason Miller: Former White House communications director, no longer with the Trump administration
Hope Hicks: White House Director of Strategic Communications
Mike Dubke: Former White House communications director, no longer with the Trump administration
Stephen Miller: Trump senior policy adviser
Corey Lewandowski: Former Trump campaign manager
Eric Trump: Son to President Trump
Rex Tillerson: Secretary of State
Michael Flynn: Former National Security Advisor, no longer with the Trump administration
Sebastian Gorka: Deputy assistant to the president in the Trump administration
Roger Stone: Former Trump campaign adviser, current host of Stone Cold Truth
Betsy DeVos: U.S. Education Secretary
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The contact and positive feedback are somewhat surprising, as Trump has regularly blasted the investigation into possible ties between his campaign and Russia as a "witch hunt."

The New York Times also reported last month that insiders have said the president's team has been "looking for conflicts of interest they could use to discredit the investigation — or even build a case to fire Mr. Mueller or get some members of his team recused..."

However, White House counselor Kellyanne Conway recently downplayed the speculation, saying, "[The president has] not discussed firing Bob Mueller."

She continued, "We will continue to cooperate with Bob Mueller and his investigation, even though he just hired the 16th person, many of them are Democratic donors, but we'll continue to cooperate and comply."

Conway was alluding to a claim Trump himself has previously made—that Mueller's probe is staffed with Hillary Clinton supporters.

However, Dowd dismissed the rumors about a possible dismissal, telling USA Today, "That's never been on the table, never. It's a manifestation of the media. My dealings with Bob Mueller have always been cordial, respectful — the way it should be."

RELATED: A look at former FBI Director Robert Mueller

23 PHOTOS
Former FBI Director Robert Mueller
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Former FBI Director Robert Mueller
WASHINGTON, DC - OCTOBER 28: Former FBI director Robert Mueller attends the ceremonial swearing-in of FBI Director James Comey at the FBI Headquarters October 28, 2013 in Washington, DC. Comey was officially sworn in as director of FBI on September 4 to succeed Mueller who had served as director for 12 years. (Photo by Alex Wong/Getty Images)
US President Barack Obama applauds outgoing Federal Bureau of Investigations (FBI) director Robert Mueller (L) in the Rose Garden at the White House in Washington on June 21, 2013 as he nominates Jim Comey to be the next FBI director. Comey, a deputy attorney general under George W. Bush, would replace Mueller, who is stepping down from the agency he has led since the week before the September 11, 2001 attacks. AFP PHOTO/Nicholas KAMM (Photo credit should read NICHOLAS KAMM/AFP/Getty Images)
Outgoing FBI Director Robert Mueller applauds key staff members during a farewell ceremony held for him at the Justice Department in Washington, August 1, 2013. On Monday the U.S. Senate confirmed former Deputy Attorney General James Comey to replace Mueller, who has led the bureau since shortly before the September 11, 2001, attacks on the United States. REUTERS/Jonathan Ernst (UNITED STATES - Tags: POLITICS CRIME LAW HEADSHOT)
391489 03: U.S. President George W. Bush speaks during a conference as he stands with Justice Department veteran Robert Mueller, left, who he has nominated to head the FBI, and Attorney General John Ashcroft July 5, 2001 the Rose Garden at the White House in Washington, DC. (Photo by Mark Wilson/Getty Images)
Outgoing FBI Director Robert Mueller stands for the national anthem during a farewell ceremony for him at the Justice Department in Washington, August 1, 2013. On Monday the U.S. Senate confirmed former Deputy Attorney General James Comey to replace Mueller, who has led the bureau since shortly before the September 11, 2001, attacks on the United States. REUTERS/Jonathan Ernst (UNITED STATES - Tags: POLITICS CRIME LAW)
Outgoing FBI Director Robert Mueller (L) reacts to a standing ovation from the audience, Deputy U.S. Attorney General James Cole (C) and U.S. Attorney General Eric Holder (R) during Mueller's farewell ceremony at the Justice Department in Washington, August 1, 2013. On Monday the U.S. Senate confirmed former Deputy Attorney General James Comey to replace Mueller, who has led the bureau since shortly before the September 11, 2001, attacks on the United States. REUTERS/Jonathan Ernst (UNITED STATES - Tags: POLITICS CRIME LAW)
Outgoing FBI Director Robert Mueller gestures during his remarks at a farewell ceremony held for him at the Justice Department in Washington, August 1, 2013. On Monday the U.S. Senate confirmed former Deputy Attorney General James Comey to replace Mueller, who has led the bureau since shortly before the September 11, 2001, attacks on the United States. REUTERS/Jonathan Ernst (UNITED STATES - Tags: POLITICS CRIME LAW)
FILE PHOTO -- U.S. Attorney General John Ashcroft (R) and FBI Director Robert Mueller speak about possible terrorist threats against the United States, in Washington, May 26, 2004. REUTERS/Kevin Lamarque/File Photo
Outgoing FBI Director Robert Mueller reacts to applause from the audience during his farewell ceremony at the Justice Department in Washington, August 1, 2013. On Monday the U.S. Senate confirmed former Deputy Attorney General James Comey to replace Mueller, who has led the bureau since shortly before the September 11, 2001, attacks on the United States. REUTERS/Jonathan Ernst (UNITED STATES - Tags: POLITICS CRIME LAW)
UNITED STATES - JUNE 19: Chairman Pat Leahy, D-Vt., right, and FBI Director Robert Mueller make their way to a Senate Judiciary Committee hearing in Dirksen Building on oversight of the FBI. (Photo By Tom Williams/CQ Roll Call)
Outgoing FBI Director Robert Mueller (C) delivers remarks at a farewell ceremony for him at the Justice Department in Washington, August 1, 2013. On Monday the U.S. Senate confirmed former Deputy Attorney General James Comey to replace Mueller, who has led the bureau since shortly before the September 11, 2001, attacks on the United States. Also onstage with Mueller are Deputy U.S. Attorney General James Cole (FROM L), U.S. Attorney General Eric Holder, former CIA Director George Tenet and TSA Administrator John Pistole. REUTERS/Jonathan Ernst (UNITED STATES - Tags: POLITICS CRIME LAW)
WASHINGTON, DC - MAY 15: (L-R) Rep. Steny Hoyer (D-MD), U.S. Attorney General Eric Holder, Homeland Security Secretary Janet Napolitano, FBI Director Robert Mueller and Immigration and Customs Enforcement Director John Morton attend the National Peace Officers' Memorial Service at the U.S. Capitol May 15, 2013 in Washington, DC. Holder and other members of the Obama administration are being criticized over reports of the Internal Revenue Services' scrutiny of conservative organization's tax exemption requests and the subpoena of two months worth of Associated Press journalists' phone records. (Photo by Chip Somodevilla/Getty Images)
FBI Director Robert Mueller testifies before the House Judiciary Committee hearing on Federal Bureau of Investigation oversight on Capitol Hill in Washington June 13, 2013. Mueller said on Thursday that the U.S. government is doing everything it can to hold confessed leaker Edward Snowden accountable for splashing surveillance secrets across the pages of newspapers worldwide. REUTERS/Yuri Gripas (UNITED STATES - Tags: POLITICS CRIME LAW)
Ukrainian President Viktor Yanukovych (L) welcomes FBI Director Robert Mueller during their meeting in Kiev June 5, 2013. REUTERS/Efrem Lukatsky/Pool (UKRAINE - Tags: POLITICS)
FBI Director Robert Mueller (L) arrives for the Obama presidential inauguration on the West Front of the U.S. Capitol January 21, 2013 in Washington. President Barack Obama was re-elected for a second term as President of the United States. Woman at right is unidentified. REUTERS/Win McNamee-POOL (UNITED STATES)
WASHINGTON, : FBI Director Robert Mueller answers questions before Congress 17 October 2002 on Capitol Hill in Washington. Mueller was testifying before the House and Senate Select Intelligence committees' final open hearing investigating events leading up to the September 11, 2001. AFP Photos/Stephen JAFFE (Photo credit should read STEPHEN JAFFE/AFP/Getty Images)
(L-R) CIA Director Leon Panetta, Director of National Intelligence James Clapper and FBI Director Robert Mueller testify at a Senate Intelligence Committee hearing on Capitol Hill in Washington, February 16, 2011. REUTERS/Jason Reed (UNITED STATES - Tags: POLITICS)
399994 02: Federal Bureau of Investigation (FBI) Director Robert Mueller visits the American military compound at Kandahar Airport January 23, 2002 in Kandahar, Afghanistan. Mueller had lunch with FBI officials and Haji Gulali, commander of the Kandahar region. (Photo by Mario Tama/Getty Images)
Federal Bureau of Investigation (FBI) Director Robert Mueller (L) stand during the National Anthem alongside Attorney General Eric Holder (R) and Deputy Attorney General James Cole (C) during a farewell ceremony in Mueller's honor at the Department of Justice on August 1, 2013. Mueller is retiring from the FBI after 12-years as Director. AFP PHOTO / Saul LOEB (Photo credit should read SAUL LOEB/AFP/Getty Images)
399994 01: Federal Bureau of Investigation (FBI) Director Robert Mueller greets American forces on the American military compound at Kandahar Airport January 23, 2002 in Kandahar, Afghanistan. Mueller had lunch with FBI officials and Haji Gulali, commander of the Kandahar region. (Photo by Mario Tama/Getty Images)
UNITED STATES - JUNE 19: FBI Director Robert Mueller, center, talks with Chairman Pat Leahy, D-Vt., right, and Sen. Orrin Hatch, R-Utah, talk before a Senate Judiciary Committee hearing in Dirksen Building on oversight of the FBI. (Photo By Tom Williams/CQ Roll Call)
UNITED STATES - JUNE 06: OVERSIGHT HEARING ON COUNTERTERRORISM--Sen. Richard J. Durbin, D-Ill., Senate Judiciary Chairman Patrick J. Leahy, D-Vt., FBI Director Robert S. Mueller III, and Sen. Charles E. Grassley, R-Iowa, before the hearing. (Photo by Scott J. Ferrell/Congressional Quarterly/Getty Images)
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