Matt Damon and wife Luciana expecting a baby

Matt Damon and Luciana Barroso attend the Sony Ericsson Empire Awards Drinks Reception in London, March 9, 2008. [Agencies[

Matt Damon and his wife Luciana are expecting a baby, his rep confirms to Usmagazine.com.

Luciana, 32, sported a baby bump while walking the red carpet with Damon at the Empire Awards in London yesterday, where Damon won Best Film for Bourne Ultimatum.

There, Damon, 37, told Us that he'd "love to come" to London and do a play, "but at the moment I am Daddy and I have to make sure I work around the family and the time the kids are getting up and going to bed — everything revolves around them."

The couple are already parents to Isabella, born June 2006, and Alexia, 9, from Luciana's previous marriage.

They were married Dec. 9, 2006 in a ceremony performed by a justice of the peace in New York City, Us Weekly first reported.

Damon is currently in Morocco filming CIA drama Green Zone.