The 29-year-old socialite's marriage to the NBA star is going through a rough phase in the light of his recent arrest on the suspicion of DUI (driving under the influence), reported TMZ online.
Odom is also accused of cheating on Khloe and allegedly taking crack cocaine.
"Khloe has given Lamar an ultimatum. Either go to a rehab and sort out his life, or forget about ever moving back in with her," a source said.