Jessica Alba won't be doing a nude cover photo shoot while she is pregnant.  Right after she announced that she was pregnant with Cash Warren's baby in December the gorgeous actress was reportedly hit with three offers to show off her baby bump with a stripped down cover and of course a photo shoot.  Now a fourth is rumored to have chimed in but the answer will likely still be no.

It seems like Jessica believes the whole act is played out and though it would be the best cover for years she is right.  Demi Moore was a pioneer when she posed in the buff for vanity Fait in August of 1991.  Then it was Britney Spears and Christina Aguilera and the whole thing seems pretty much finished by now.

A friend said earlier, "She had three offers on the first day, but she doesn't intend to take any of them."  In fact, Jessica has even dodged the paparazzi of late while trying to hide her baby bump, even when it was covered.  But of course, photogs have captured her on film as she is always out and about.

She and fiancée Cash Warren were at the Sundance Film Festival over the weekend and the cold Utah temperatures made it simple to hide her bump as she was covered up with two heavy coats, one whit and one black.  She was glowing though.