Khloe Kardashian on Lamar Odom's recovery: 'I'm so proud of his strength'

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Khloe Kardashian Gives Lamar Odom Recovery Update: 'He's Doing Amazing'

Khloe Kardashian is still supporting her estranged husband Lamar Odom as he continues to recover after he was found unresponsive in a Nevada brothel back in October.

While promoting her new talk show, Kocktails With Khloe, at a TCA panel in Los Angeles, California, the 36-year-old reality star said that the former NBA pro is "doing amazing."

WATCH: Lamar Odom's Son Shares First Picture of NBA Star Since Hospitalization

"Because it's not my story to tell, I try to respect that and I want him to be able to tell that story," she said. "I'm just there to support and care for him."

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Khloe Kardashian on Lamar Odom's recovery: 'I'm so proud of his strength'
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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Khloe added that she is impressed with how Lamar, 36, has recovered over the past few months. "I'm so proud of the strength that he has to fight this battle that's his battle," she told the audience. "And I'm so grateful for everybody's love and concern, because I think it is coming from a good place."

WATCH: Lamar Odom's Hospital Bills Estimated to Be 'in the Millions,' But Who Is Paying?

Lamar has been recovering at Cedars-Sinai Medical Center in Los Angeles, California since October, and when ET spoke with Khloe the following month, she admitted that he still had "a lot of other issues to deal with."

"He's doing better every day, for sure, which is a blessing, but it's going to be a long road and he has to walk that road," she shared. "It's going to be a long time."

WATCH: Lamar Odom 'Not Doing Great,' Sometimes Forgets His Own Name, Source Says

Kocktails with Khloe premieres Jan 20 on FYI, and Khloe has said that she will speak about Lamar on the show. In the meantime, here's the Keeping Up With the Kardashians star's interview with ET:

Khloe Kardashian Will Empower Exes in New 'Revenge Body' Reality Series
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