Jessica Alba -- Belly Bandit Winner!!!

The company that jacked Jessica Alba's name to promote its post-pregnancy slim down products has caved in by settling Jessica's lawsuit ... TMZ has learned.

Jessica sued Belly Bandit in October for using her name and image on its website. Among her gripes, Jessica claimed she never gave Belly Bandit permission to say, "Jessica Alba's #2 secret for a fast post pregnancy slim down!"

Sources tell us ... the company ponied up some cash and agreed to stop using Jessica as a marketing tool.