The couple have been living apart for months amid allegations the basketball star, 33, recently battled an addiction to crack cocaine and cheated on his wife of four years with several different women, and although they attended a Kanye West concert together last month, they still aren't in a good place.
A source told People.com: ''There are no talks about reconciliation. Khloé is very frustrated when it comes to Lamar. The fact that he doesn't seem to care to shape up makes Khloé act like she is over him.''
Another insider said: ''Khloé doesn't know how they'll ever be a happy, married couple again. She is very hurt that he's lied to her about being clean. And she's made it clear that he can't spend time with her family until he is.''
The 29-year-old beauty opened up about her issues with Lamar on a recent episode of 'Keeping Up with the Kardashians'.
She said: ''I laugh to keep from crying,'' and speaking to Lamar through the cameras, she added: ''You're not my child. I can't lock you in a room, as much as I would like to.''
The reality TV star changed her name on her Instagram and Twitter profiles by removing her last name Odom in September, but Lamar insisted last week that their marriage is ''unbreakable''.
He said: ''We're wonderful. We're unbreakable. That's why I wear my wedding ring. It is a beautiful ring from a beautiful wife.''
Perry appeared on James Corden's 'The Late Late Show' on Monday and addressed her long-standing rivalry with Swift.