Jessica Alba black dress sunglasses Beverly Hills

Second-time mom Jessica Alba doesn't skimp on clothes for her little ones, she heads directly to LA's shopping capital, Beverly Hills, to pick up some luxe baby clothes for her two-week-old daughter Haven.

Alba and hubby Cash Warren's first daughter Honor has an adorable wardrobe, so we're wondering if Jess will recycle some of what's in her older daughter's closet ... But for the moment, Jessica was content to pick up some new onesies and a blanket at My Little Dimples.

The actress wore sky-high striped platforms with a loose-fitting top over leggings. She's working on losing the baby weight, as we caught Alba at the gym recently. Looks like she's almost there -- she'll have that famous bod back in no time!