Khloe Kardashian Says Lamar Odom Is 'Doing Amazing'

— -- While pushing her new TV show at the Television Critics Association winter press tour, Khloe Kardashian caught critics up about some other developments in her very public life.

The reality star whose "Kocktails with Khloe" will debut on the FYI network on Jan. 20, gave an update about the health of her estranged husband Lamar Odom, who was found near death after a drug-fueled bender at a Nevada brothel a few months ago.

"[Lamar's] doing amazing and I'm so proud of the strength that he has to fight this battle," Kardashian said. "Because it's not my story to tell, I try to respect that, and I want him to be able to tell that story. I'm just there to support and care for him."

Kardashian also commented on whether or not she'll watch FX's "American Crime Story: The People vs O.J. Simpson." Kardashian's late father Robert was part of Simpson's "dream team" of attorneys. Simpson was found not guilty for the murder of his ex-wife Nicole Brown Simpson and her friend Ron Goldman.

David Schwimmer plays Kardashian's father in the film, and Selma Blair plays Kardashian matriarch Kris Jenner. Cuba Gooding Jr. plays the disgraced former NFL star.

"I would definitely like to see it," Kardashian said, noting, "My mom and Selma Blair became really good friends."