The Keeping Up with the Kardashians star "effectively" declared separation last week upon kicking Odom out of the house, however, the couple still hasn't reached the point of filing for divorce, sources told TMZ.
Kardashian reportedly gave Odom the boot after he refused her desperate attempt to stage an intervention for his alleged "hardcore" drug abuse problem that has been going on for two years and recently turned "dire."
Neither Odom or Kardashian -- who's reportedly currently dealing with "a double whammy" of Odom's alleged "crack addiction" and multiple allegations he's cheated on his wife of four years multiple times -- has consulted a divorce lawyer yet although a divorce is "likely" at this point, according to TMZ.
Kardashian reportedly convinced Odom to go to a San Diego rehab facility last August, however Odom threatened to leave "constantly" before leaving the facility for good after only three weeks.
Odom reportedly managed to stay clean after he left the facility but "slipped deep back into hardcore recreational drugs" after his NBA basketball season ended this spring -- resulting in the entire Kardashian clan attempting to convince Odom to re-enter rehab last week.
Paparazzi photos showed Odom and a friend loading his car with luggage after Kardashian allegedly threw him out of the couple's house following the failed intervention attempt.