"I can confirm that Jessica and Cash are expecting a baby in late spring, early summer," says rep Brad Cafarelli.
Alba, 26, has dated Warren, 28, since the fall of 2004 after they met on the set of The Fantastic Four, on which Warren was a director's assistant.
The couple have been seen being affectionate together in Los Angeles in recent days, shopping for mattresses last Saturday and attending a Lakers game, where they were spotted kissing Sunday. Check out her +800 pics in her Gallery's!
To Jessica Alba Gallery #1