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The source also said he is no longer using a breathing tube and can breathe on his own.

E! News learned on Wednesday that the 31-year-old E! star arranged for Odom's father, Joe Odom, as well as Lamar's two children, Destiny Odom and Lamar Odom Jr. and their mother to fly out from New York to Vegas to Sunrise Hospital to be by Odom's side.

"Thanks for your outpouring of prayers and support for our dad. We are here with our family and friends," a statement from Lamar's children read. "We appreciate everyone respecting our privacy at this time. We ask for your continued prayers."

For more on Lamar Odom's hospitalization, watch E! News at 7 and 11 p.m. tonight on E!