Odom, 35, who was found unconscious at Dennis Hof's Love Ranch South in Pahrump, Nevada, is now breathing on his own, reported Variety.
"Lamar is conscious and was able to say hi to Khloe, but his condition remains guarded," a source said.
Odom's condition has improved moderately over the past 36 hours.
Doctor are working to make sure his organs function properly.
Khloe has been there by her estranged husband's side since Tuesday night.
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Her sisters Kim, Kourtney, Kylie and mother Kris Jenner have visited him as well.
The former Los Angeles Lakers basketball star was unresponsive and was not able to breathe on his own yesterday.
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