Caitlyn Jenner Has Not Visited Lamar Odom in the Hospital

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As Khloe Kardashiancontinues to stand by estranged husband Lamar Odom, ET has learned that Caitlyn Jenner has not traveled to Las Vegas to visit the former NBA star's hospital bedside, contrary to reports.

"It's complete B.S." a rep for Jenner tells ET, squashing the speculation.

On Tuesday, just before news of Odom's condition was made public, Jenner posted on Instagram that she was visiting her own ailing mother. "Visiting my mom and she's doing great after breaking both her hips," Jenner wrote. "She's been mobile - she's tough."

On Thursday, Jenner posted an image of purple painted nails in honor of Spirit Day.

WATCH: Lamar Odom's Children Ask for 'Continued Prayers' for Their Dad

Jenner has made no reference of Odom on any of her social media accounts, while Kardashian's family members -- including Kourtney Kardashian, Kim Kardashian, Rob Kardashian, Kris Jenner and Kylie Jenner -- have all shared tributes to the 35-year-old.

As ETonline previously reported, Kourtney, Kim, Kris and Kylie have all been by Khloe's side this week at Sunrise Hospital in Las Vegas, where Odom remains in critical condition after being found unconscious at the Love Ranch brothel in Crystal, Nevada on Tuesday. The family members were all spotted leaving Sin City on a private plane as of Thursday afternoon, though Khloe remains at the hospital along with Odom's two children and their mother, Odom's ex-girlfriend, Liza Morales.

As of Friday, Kris, Kylie and Kendall Jenner have canceled a scheduled appearance at the Angel Ball in New York City on Monday, and Kim has postponed her baby shower that was scheduled for Saturday. Meanwhile, in a statement posted to Khloe, Kim and Kylie's mobile apps on Thursday, the family said that they had "decided to hold off on publishing across our apps while we continue to support and pray for Lamar. Thank you for your kindness and understanding during this difficult time."

Odom's children also made their first public statements on Thursday -- see what they said in the video below.