But a source told People on Monday that the reality TV personality and MLB star have been friends for "a long time."
"Khloe is absolutely heartbroken right now [over Lamar] and dating someone is the last thing she's thinking about," the source said.
An ABC News source called the rumors “absolutely not true.”
Kemp added fuel to the rumors last week when he Instagramed a photo of the Kardashian family Christmas tree.
Kardashian filed for divorce from Odom on Friday, following months of reports that he struggled with addiction and cheated on her.
[People, ABC News]
2014: The Year in Music [PHOTOS]