The former basketball star remains in a critical condition after he was found unresponsive at the Love Ranch South brothel in Pahrump, Nevada.
Earlier reports suggested he is in a coma and hooked up to a ventilator to help him breathe, and hospital sources tell TMZ.com a magnetic resonance imaging (MRI) scan revealed Odom had also had suffered a series of small strokes, but civil rights leader Reverend Jesse Jackson, who was photographed visiting the 35 year old, claims he is now showing "signs of responsiveness".
Doctors allegedly found traces of cocaine and opiates in Lamar's system and authorities are reportedly treating the incident as an overdose. Odom arrived at the brothel on Saturday (10Oct15), and had been partying with women for days before he was found.
Kardashian and members of her family have flown to Las Vegas to be by the sportsman's side, joining his former Los Angeles Lakers teammate Kobe Bryant.
Odom has struggled with substance abuse issues for some time and briefly sought help in rehab in 2013, before Kardashian filed for divorce to end their four-year marriage that December (13). Their split was finalised over the summer (15).