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"To be honest with you, it's tough – and if it was any other movie I wouldn't be doing it," the actress, 27, says of filming An Invisible Sign of My Own, in which she plays a young math teacher helping troubled students. "It's difficult to spend any time away from her."
But Alba, speaking to PEOPLE at a party on Monday hosted by the Cinema Society and Dolce & Gabbana for Madonna's new film Filth and Wisdom, is determined not to miss out on any mommy moments once shooting starts.
"I love my daughter," says the star, "and she's going to be with me every day on the set."
– Amy Elisa Keith and Samantha McIntyre
JOSH & FERGIE: ROCKED BY SCANDAL
Did he cheat with a stripper?
Married less than a year, the couple denies an Atlanta woman’s claims that she and Josh had a fling
Note that this week’s cover of PEOPLE may differ regionally
