Natalie Portman Goes Lunching with Baby Aleph in N.Y.C.
05/01/2012 AT 05:55 AM EDT
The Oscar winner kept her little one on her lap the entire meal, feeding him a few bites and waiting for him to fall asleep before she began eating her own meal, a salad.
An onlooker tells PEOPLE Portman was "doting on him the entire time."
– Charlotte Triggs