The 32-year-old actress and mother of two has flooded her Instagram account with photos of the film's retro style, including a mug shot and 1960s swimwear.
Josh Lucas and Isabelle Fuhrman also star in the film, due out next year.
Check out some of Alba's 60s styles below:
Notable deaths of 2014 [PHOTOS]
Mindy Kaling mistaken for Malala Yousafzai