"I can confirm that Jessica and Cash are expecting a baby in late spring, early summer," Alba's representative Brad Cafarelli told People.com.
Alba and Warren met on the set of "The Fantastic Four" and have been dating for three years.
Alba played one of the title heroes while Warren worked on the film as a director's assistant.
The actress has also starred in "Sin City" and "Awake."
Celebrity Couples of 2014 [PHOTOS]