The twosome hosted a party at Tru nightclub on Monday in Hollywood, where they hung out together last month as well.
Radar reports that Khloe and the rapper also went bowling together Sunday evening, and that he's got feelings for her.
"Jayceon (The Game's actual name) has made no secret that he has very strong feelings with Khloe, beyond friendship," a source says. "Nothing inappropriate has happened, Jayceon respects the fact she is still married, but he is definitely waiting in the wings, hoping Khloe pulls the plug on her marriage to Lamar."
The 29-year-old has been struggling with her 4-year marriage to the NBA player in the past few months, as he faces reports of infidelity and an alleged crack addiction.
After her night out with The Game, Khloe posted a bunch of interesting Tweets about love early Monday morning.
We all have our own journeys in life. So even if u don't accept mine. Be kind....We all have a journey 2travel & I want to walk mine, my way- Khloé (@KhloeKardashian) October 8, 2013
If I love u. Its a deep 4ever love. Ride til the end. Family/friend.Its simply called love. I take it seriously. Dont judge unless u r in it- Khloé (@KhloeKardashian) October 8, 2013
Do you think Khloe is moving on from Lamar?
Not all scars can be seen and not all love can be explained. The deepest love is also the hardest to express. Only those in it, understand- Khloé (@KhloeKardashian) October 8, 2013