Khloe Kardashian Puts Relationship with James Harden on Hold

Khloe Kardashian has put the brakes on her relationship with James Harden, in the wake of Lamar Odom's medical crisis ... sources tell TMZ.

We're told Khloe is putting her relationship with the NBA star on ice, and as one source puts it, it doesn't take a rocket scientist to see she still has deep feelings for Lamar.

TMZ broke the story ... Khloe will be by Lamar's side during his rehab, which will take many months.

As we reported, Khloe and Lamar both signed the final divorce docs, but it takes anywhere from 2 to 4 months to process.