The couple's relationship has reportedly been on the rocks 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 concert together this week, things are still up in the air between them.
A source told E! News that the duo hasn't made a decision about the future of their marriage.
The insider added: ''They have been spending an increasing amount of time together. At one time it seemed like a reconciliation was impossible and divorce was inevitable. Things may have turned a corner.''
Another source said that Lamar is also ''healthy and getting back in shape.''
The former Los Angeles Lakers player was spotted with Khloe, 29, at her future brother-in-law Kanye West's concert in L.A. on Monday (28.10.13), marking the first time they have been spotted in public together in weeks.
It was previously reported that Khloe signed her divorce papers after a failed intervention with her husband last month, but was holding off on filing them because she didn't want to give up on their marriage.
The brunette beauty also changed her name on her Instagram and Twitter profiles by removing her last name Odom.
An insider said at the time: ''Changing her name on social media was a big step in letting people know she is moving on.''