Kim Kardashian has reportedly told her sister Khloe to dump her husband Lamar Odom.

The 32-year-old reality TV star has urged her younger sibling to end her four-year marriage with the basket ball star - who has been accused of numerous accounts of infidelity and rumours of crack cocaine addiction - because his bad reputation is tarnishing their family name and destroying their empire.

A source told ''Khloe was at 'momager' Kris Jenner's house, and Kim just hit into her about how much Lamar was hurting their bottom line and creating so much negative publicity.''

Khloe, 29, reportedly issued Lamar with an ultimatum last week, stating that he either goes to rehab or she will be filing for divorce, but Kim - who welcomed her daughter North into the world with boyfriend Kanye West in June - believes Lamar has had too many chances.

The source explained: ''Kim can't understand why Khloe hasn't dumped Lamar because he is showing absolutely no desire to go to rehab.

''The headlines surrounding Lamar's womanising and drug addiction are tacky according to Kim, and she doesn't want to be associated with it. Khloe has maintained that she isn't ready to pull the plug on their marriage. The last thing Khloe needs is her family turn on her. Khloe left the house in tears.''

However, Khloe is refusing to take advice from Kim after she called time on her marriage with ex-husband Kris Humphries after just 72 days with no repercussions, and she would rather her family were supportive of her decisions.

The source said: ''It's no secret that their mother, Kris, plays favourites, and Kim can do no wrong in her eyes.''