May 14, 2013 06:00 PM

Jason LaVeris/Filmmagice

Another Homeland baby is on the way!

Actress Morena Baccarin, 33, and her husband director/writer Austin Chick are expecting their first child together, her rep confirms to PEOPLE exclusively.

Baccarin — who plays Jessica Brody, the wife of former marine Nicholas Brody on the hit Showtime series — is currently in production for the show’s third season.

Fortunately, the mom-to-be won’t have to worry about balancing a heavy makeup routine with a new baby. When Baccarin — who wed Chick, 41, in November 2011 — isn’t busy shooting scenes in front of the camera, she’s “pretty low maintenance.”

“When I’m not working I’m definitely a no makeup girl. The most I ever do is a little tinted moisturizer and a little mascara and blush,” Baccarin, who was named one of PEOPLE’s 2013 Most Beautiful, said recently.

— Anya Leon with reporting by Julie Jordan

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