There’s an incredible rumor floating around Hollywood – that RUMER WILLIS had a boob job!

The 22-year-old daughter of A-list actors Bruce Willis and Demi Moore turned heads recently as she shopped in Beverly Hills sporting a black bra under a sheer top  and there are two BIG reasons why!

 Sources say this shouldn’t come as a surprise – her mom Demi is an old pro at going under the knife!

As The ENQUIRER previously revealed, the 48-year-old actress reportedly had breast sur­gery at least twice – once to enhance, and once to reduce.

“Rumer was raised in a very liberal household, and Demi has used plastic surgery to enhance her looks,” explained a pal. “May­be the apple hasn’t fallen far from the tree?”

While Rumer’s reps say rumors about her getting an artificial boost are “completely false,” the pumped-up pictures seem to tell a different story. And so does at least one top doc.

“It appears to me that Rumer has undergone a breast augmentation, taking her from an A to a C cup,” says renowned Detroit-based cosmetic surgeon Dr. Anthony Youn, who has not treated Rumer.

“Her breasts fit her frame nicely, look soft and natural, and don’t appear overdone. If she had implants, her plastic surgeon should be patting himself or herself on the back!”