Playboy boss Hugh Hefner wants Lindsay Lohan to strip off again - this time for a photoshoot in his famous magazine.

The mogul was reportedly impressed with the saucy naked snaps of Lohan that currently appear in New York magazine - in a tribute to Marilyn Monroe’s last photoshoot - and he wants her to pose as the legendary actress in his publication.

This time Lohan will be asked to re-create Monroe’s famous nude swimming scene from movie Something’s Got To Give, reports the New York Post.

But it seems unlikely the 21-year-old’s parents would be so understanding about her stripping for Hefner.

After her New York magazine shoot, Lohan’s mother Dina said, "It was very tastefully done. I don’t look at them like it’s Playboy; she was being a character. If you look at it that way, you can look at it as a mother."