The 29-year-old reality star can't seem to stay away from the singer, but her close-knit family is not standing behind her this time.
"Kim is telling Khloe that she should be really careful with French after everything she just went through with Lamar," a source close to the reality star told Radar.
"He's got a lot of family drama that Khloe could get dragged into and Kim doesn't want her to have a difficult romance this time."
As Kim prepares to walk down the aisle with Kanye West, the source said she has been bragging that her relationship is more stable than Khloe's could ever be.
"Kim has said that Kanye doesn't have any family problems or past relationships that hold him back from completely loving her and so that's what she wants for Khloe. She wants to see her sister happy and she's worried that French isn't going to be able to fully commit to her sister. But the comparison irritates Khloe."
While the Keeping Up with the Kardashians family seems to have embraced French as Khloe is seen packing on the PDA with him, the source said Kim isn't her biggest cheerleader.
"Kim just hasn't been as supportive as Khloe would have liked. She's telling her to take things slowly and saying that French might not be the one for her."
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