Wearing a vintage black and pink dress, the couple were photographed holding hands in public for the first time while walking across the parking lot of a mall in Thousand Oaks, California, reported Aceshowbiz.
A source said that the couple hit up several stores inside the high-end mall.
"She was here with her guy and she shopped for quite a while. She looked good! They were just casual and normal," a source said.
Spears and Lucado have reportedly been seeing each other for weeks as they have been on numerous outings together.
Lucado is a 28-year-old Virginia native who does field research for a law firm. Spears split with Trawick early this year.