Denise Truscello/Wireimage
Charlotte Triggs
May 03, 2012 02:15 PM

London may be Kalling the Kardashians.

Khloé Kardashian‘s husband Lamar Odom is working out with a trainer four to six hours a day to get in shape for a possible spot on the U.S. Olympic basketball team.

Once seen as a long-shot after flaming out with the Dallas Mavericks this season, Odom’s chances improved because of recent injuries to such stars as Derrick Rose of the Chicago Bulls, Chauncy Billups of the Los Angeles Clippers and Dwight Howard of the Orlando Magic.

“Given the injuries,” writes USA Today, “Odom might get another look.”

That would certainly be Kardashian’s wish.

RELATED: Khloé Kardashian: I’m an Over-Protective ‘Mama Lion’

“This summer we’re hoping to go to London and spend time with his kids,” says Kardashian (Odom has two children from a previous relationship).

Khloamp#233; Kardashian Odom

For more on Khloé’s decision to put their reality show on hold, and their plans to start a family, pick up the latest issue of PEOPLE, on newsstands Friday

RELATED: Khloé Kardashian: ‘Divorce Is Not an Option’

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