Lamar Odom continues to 'gradually flourish' as his family professes 'love and respect' for Khloe Kardashian

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Khloe Kardashian and Lamar Odom Call off Their Divorce

Good news for Lamar Odom.

The 35-year-old basketball star's recovery seems to continue to show some positive signs, including talking more, his family said in a statement to ET on Thursday.

"To our overwhelming delight, Lamar's courageous improvement continues on the incline in Los Angeles," the statement reads. "He is beginning to gradually flourish both mentally and physically. His use of speech has increased and he's more cognitively responsive. His medical team has executed an aggressive therapy regimen to aid in his progress."

WATCH: Khloe Kardashian and Lamar Odom Call Off Divorce

And in a not so subtle way, they also show their support for Khloe Kardashian, after the two called off their divorce on Wednesday. Khloe's lawyer, Laura Wasser, filed to have the two's divorce filing withdrawn, and court documents show that Lamar himself signed the new filing.

"As a family, we will remain united in our love and devotion to Lamar's health and well-being. Again, that is our NUMBER ONE priority," they stress. "In SINCERELY loving Lamar, we truly love and respect whomever he loves. We always have and will continue to do so. Together as a team, we will support and encourage him always."

Photos of Odom and Kardashian together:

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Lamar Odom and Khloe Kardashian
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Lamar Odom continues to 'gradually flourish' as his family professes 'love and respect' for Khloe Kardashian
Khloe Kardashian and Lamar Odom arrive at the Teen Choice Awards on Sunday, Aug. 8, 2010 in Universal City, Calif. (AP Photo/Chris Pizzello)
Khloe Kardashian, left, poses for photographers as her date, Los Angeles Lakers basketball player Lamar Odom, looks on at the premiere of the film "Whiteout" in Los Angeles, Wednesday, Sept. 9, 2009. (AP Photo/Chris Pizzello)
Los Angeles Lakers' Lamar Odom, right, and Khloe Kardashian get off the float after the Lakers NBA Championship victory parade in Los Angeles, Monday, June 21, 2010. (AP Photo/Matt Sayles)
**COMMERCIAL IMAGE** In this photograph taken by AP Images for AXE, Khloe Kardashian, left, and Lamar Odom arrive at the AXE Music "One Night Only" concert series featuring Weezer on Tuesday, Sept. 21, 2010 in Los Angeles. (Shea Walsh / AP Images for AXE)
Los Angeles Lakers' Lamar Odom, left, and Khloe Kardashian during a BBVA All-Star celebrity basketball game at the NBA All Star Weekend in Los Angeles, Friday, Feb. 18, 2011. (AP Photo/Jae C. Hong)
Khloe Kardashian, left, and her husband Lamar Odom, right, of the Dallas Mavericks, sit rinkside as they take in an NHL hockey game between the Chicago Blackhawks and Dallas Stars, Friday, March 16, 2012, in Dallas. The Blackhawks won 4-1. (AP Photo/Tony Gutierrez)
Photo by: Jackson Lee/starmaxinc.com �2012 ALL RIGHTS RESERVED Telephone/Fax: (212) 995-1196 4/27/12 Kim Kardashian, Khloe Kardashian and Lamar Odom playing basketball in Queens. (NY) (Star Max via AP Images)
Photo by: Jackson Lee/starmaxinc.com �2012 ALL RIGHTS RESERVED Telephone/Fax: (212) 995-1196 4/27/12 Kim Kardashian, Khloe Kardashian and Lamar Odom playing basketball in Queens. (NY) (Star Max via AP Images)
ORANGE, CA - JUNE 07: Lamar Odom and Khloe Kardashian make a personal appearance for 'Unbreakable Bond' at Perfumania on June 7, 2012 in Orange, California. (Photo by Jason LaVeris/FilmMagic)
LOS ANGELES, CA - JULY 22: Khloe Kardashian and Lamar Odom are seen at Los Angeles International Airport on July 22, 2012 in Los Angeles, California. (Photo by GVK/Bauer-Griffin/GC Images)
ORANGE, CA - JUNE 07: Professional basketball player Lamar Odom and TV personality Khloe Kardashian make an appearance to promote their fragrance, 'Unbreakable Bond,' at Perfumania on June 7, 2012 in Orange, California. (Photo by Imeh Akpanudosen/Getty Images)
SANTA MONICA, CA - MAY 19: (L-R) TV personalities Kendall Jenner, Kylie Jenner, Khloe Kardashian, Lamar Odom and Kris Jenner attend the Cody Simpson album preview party hosted by Hallmark at Casa Del Mar on May 19, 2012 in Santa Monica, California. (Photo by David Livingston/Getty Images)
CENTURY CITY, CA - MAY 18: Basketball player Lamar Odom and TV personality Khloe Kardashian attend Voli Light Vodka Supports The 19th Annual Race To Erase MS 'Glam Rock To Erase MS' at the Hyatt Regency Century Plaza on May 18, 2012 in Century City, California. (Photo by Vivien Killilea/WireImage)
NEW YORK, NY - APRIL 23: Lamar Odom, Khloe Kardashian and Kourtney Kardashian are seen on April 23, 2012 in New York City. (Photo by Ignat/Bauer-Griffin/GC Images)
Lamar Odom and Khloe Kardashian Odom dine at Sugar Factory American Brasserie at Paris Las Vegas on June 17, 2011 in Las Vegas, Nevada.
NEW YORK, NY - FEBRUARY 11: Lamar Odom and Khloe Kardashian attend Kanye West Yeezy Season 3 at Madison Square Garden on February 11, 2016 in New York City. (Photo by Kevin Mazur/Getty Images for Yeezy Season 3)
NEW YORK, NY - FEBRUARY 11: Khloe Kardashian and Lamar Odom attend Kanye West Yeezy Season 3 at Madison Square Garden on February 11, 2016 in New York City. (Photo by Kevin Mazur/Getty Images for Yeezy Season 3)
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The 31-year-old reality star has stayed by Lamar's side since Oct. 13, after he was found unresponsive at the Love Ranch brothel in Crystal, Nevada. On Monday, Lamar was transferred from Sunrise Hospital in Nevada to Cedars-Sinai in Los Angeles, California, to receive more specialized treatment.

A source close to the family told ET on Monday that Odom is "still very weak." He also continues to receive dialysis after kidney failure.

"He is showing improvement in his condition, however, regaining complete organ function continues to be a top medical priority," the source said.

Still, Khloe is clearly grateful for his "miraculous" recovery so far, which has even included Lamar 'taking a few steps." On Tuesday, she broke her silence on his hospitalization, telling her fans that "God is great."

"You can never be prepared for an experience like this, but without the outpouring of love and endless prayers that Lamar has received and the strength I was given from my loved ones, it would have been difficult to endure," Khloe wrote on her website and phone app. "Thank you for your continued support. God is great!!"

WATCH: Could Lamar Odom Need a Kidney Transplant?

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Khloe Kardashian Speaks out on Lamar Odom: 'God Is Great'

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