By peoplestaff225
Updated October 14, 2008 06:00 PM


Since giving birth to Honor Marie, 4 months, Jessica Alba has spent her days doting on her new daughter. But the 27-year-old actress, married to Cash Warren, is headed back to work, starring in the film An Invisible Sign of My Own.

"To be honest with you, it’s tough — and if it was any other movie I wouldn’t be doing it," Jessica told PEOPLE Monday night at party in New York City for Madonna’s new film, Filth and Wisdom. "It’s difficult to spend any time away from her."

The actress, who plays a young math teacher helping troubled students in her new flick, out next year, says that though she’ll be busy, she won’t be missing any mommy time with her baby girl. "I love my daughter, and she’s going to be with me everyday on the set."