updated 05/23/2014 AT 10:00 AM ET
•originally published 05/23/2014 AT 11:00 AM ET
Holy baby bump, Batman!
It was the second time this week that the couple, already parents to a 9-year-old daughter, were spotted out and about, following a sunny stroll Tuesday in Santa Monica.
In March, PEOPLE confirmed that the American Hustle actor, 40, and the former model and makeup artist, 44, had a new baby on the way – shortly after the couple walked the red carpet at the Academy Awards, where Bale was nominated for best actor and where Blazic showed off her blossoming figure.
Devoted dad Bale said in 2009: “It’s all about my girls, my wife and my daughter. I carry a picture of them with me all the time.”