Natalie Portman and Baby Aleph
Splash News Online
05/01/2012 AT 05:55 AM EDT
didn't let her baby son
Aleph out of sight on Saturday when she took him out while she grabbed lunch with another woman at Serafina Fabulous Pizza in New York City.
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