"[Ellen and Chris] are thrilled," Pompeo's rep tells Us.
Pompeo, 39, and Ivery, 41, quietly wed in November 2007 in a low-key ceremony at New York's City Hall.
See stunning celebrity wedding photos!
Less than a year later, the actress -- who plays Dr. Meredith Grey on the ABC hit -- already had babies on the brain.
Revisit the love lives of other Grey's Anatomy stars.
"It's a huge lifestyle change, and I take that very seriously," she told Allure magazine of motherhood.
"We enjoy our life so much," Pompeo said in the October 2008 issue. "We go to Europe and sleep in. So when I have the baby, I won't feel like we've missed any fun, reckless times together, like staying up all night drinking champagne and having sex until five in the morning and not having to get up until two in the afternoon. But I've got to get on it, because the clock is ticking."
More news from Usmagazine.com