Sibi attended several awards-season events with her husband, including the Academy Awards, where photographers could just make out a growing baby bump.
Bale and his wife already have a daughter, Emmeline, who will turn 9 this month.
"They are truly a supportive couple, he and Sibi are thrilled," a source told Us Weekly. "She's been traveling with him while he's been touring around for American Hustle."
[E! News, Us Weekly]