Chris Ivery and Ellen Pompeo
04/19/2009 AT 08:30 PM EDT
and her husband, Chris Ivery, are starting a family together, her rep, Jennifer Allen, confirms to PEOPLE.
"It's great news," says Allen. "They're ecstatic."
The Grey's Anatomy
star, 39, and Ivery, 41, a music producer, were married
by New York City Mayor Michael Bloomberg in a low-key ceremony in November 2007. The couple met in a grocery store in 2003 and began dating six months later.
Pompeo, who's recently been spotted shopping for baby gear around Los Angeles, is not the only Seattle Grace doctor having a baby in real life: Costar Chyler Leigh and her husband, Nathan West, are expecting
her third child, a girl, in May.