Jessica Alba and Cash Warren
12/12/2007 AT 05:55 AM EST
is pregnant with boyfriend Cash Warren's child, her rep tells PEOPLE exclusively.
"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.
Alba has also starred in Sin City
and the recent Awake
. Her upcoming films are The Eye
and The Love Guru
Before the pregnancy announcement, she said she was in talks to make her Broadway premiere
this summer in a revival of playwright David Mamet's Speed-the-Plow