Jessica Alba's LA Lunch

Jessica Alba is seen out and about for lunch in LA on Wednesday with husband Cash Warren, but Honor Marie Warren was nowhere in sight.

The couple had lunch and then strolled back to their car and went home to their newborn baby.

Jessica and Cash are in a strict agreement that the top priority for their baby daughter, Honor Marie Warren, will be getting her an education, and will not push her into Hollywood.

“When she finishes college, she can do whatever she wants,” Jessica, 27, tells OK!. “It [an education] is only going to benefit her in whatever she wants to do.”