Khloé Kardashian and Lamar Odom Will Be Apart for Thanksgiving

The X Factor

11/16/2012 at 08:00 PM EST

Lamar Odom and Khloé Kardashian

Denise Truscello/Wireimage

As most Americans sit down for Thanksgiving dinner, he’ll be on the court with the Los Angeles Clippers in New York and she’ll be on the stage in Los Angeles.

But even if Khloé Kardashian, 28, and her basketball star husband Lamar Odom, 33, won’t be together this year for the family holiday, they remain connected and supportive as both continue their busy careers.

“Honestly, I’m fine with it, because I’m obsessed with my husband – in a healthy way – but he’s on the road. He has a game in Brooklyn, so I don’t feel guilty, like, ‘I’m not going to be able to cook for him!’ ” Kardashian told PEOPLE from the set of The X Factor on Thursday.

“So, he’ll be on the road. He’ll be working anyway. So, I feel better about that, and my sister Kim will be here. And I think my mom will come here that night, too. Thanksgiving at The X Factor!”

Wherever her husband may be, Kardashian says Odom lovingly takes time to watch her show, even if it’s a replay on YouTube, where he often makes fun of her voice. Odom, she adds, has also given her other advice, chiding her for being a bit … overexposed.

“The only tip he gave me was don’t show your nipples anymore,” Kardashian joked. He said, “Please do not have your [breasts] out.” I said, ‘Oh, good tip.’ “

As she gets emotionally invested in the show‘s talented contestants and in watching their gut-wrenching departures, Kardashian says she is also trying to improve her own skills co-hosting the show with Mario Lopez. Her famous siblings have been supportive thus far, offering their own tips.

“I’m still learning. I’m still just trying to get better, and better every week,” she said of her new role. “I like constructive criticism, but still it’s only a one or two-hour show, and there’s still so many people. I just don’t have time to just talk, and be myself yet.”

“And right now, it’s so technical. I feel like, when more people go, there’s going to be more time to fill. And I feel like that’s where I can kind of do my thing.”

Reporting by Patrick Gomez

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Khloé Kardashian and Lamar Odom Will Be Apart for Thanksgiving