Bruce Willis wants his daughters to cover up.

The 59-year-old actor was reportedly ''mortified'' when he saw pictures of his eldest child, Rumer, 25, revealing a lot of skin at a recent red carpet event.

A source said: ''Bruce was mortified. As every knows, he's actually a very conservative guy and doesn't like to see his daughter parading around in next to nothing.''

According to The National Enquirer, the 'Die Hard' star reportedly blames his ex-wife Demi Moore for Rumer's provocative wardrobe.

The insider said: ''Bruce believes his ex should have been a better role model to their kids. If she had been, Bruce is convinced that Rumer wouldn't be exposing herself and causing him ridicule.

''He basically told Rumer that she was old enough to do what she wanted, and he couldn't tell her what to wear. But he said that if it was attention she was after, there were certainly other ways to get it, rather than to flash her drawers... and more.

''Bruce doesn't want to see Rumer turn into another overexposed starlet, like Paris Hilton or Lindsay Lohan.''

(National Enquirer)