Khloe Kardashian -- I Don't Care Who French Is Banging

Khloe Kardashian doesn't care if French Montana has a side piece ... and she thinks her family should stay out of her business.

As TMZ first reported, the Kardashians had a heart-to-heart with Khloe last week ... warning her that French had used Kim as a cover during their recent trip, making it appear he was spending time with her when he was actually dogging around Dubai.

We're told Khloe scoffed at her family's advice ... she fired back, saying she's having fun and there's no expectation of exclusiveness.

The fam is concerned because of the way Khloe dealt with the Lamar situation ... defending him for way longer than most partners would. But Khloe says this is not "a Lamar situation." She's having fun ... end of story.