The Trophy Wife star, 35, has been spending time with Rizzoli & Isles actor Colin Egglesfield, 41, PEOPLE confirms.
"They're getting to know each other," says an Akerman insider. "They're taking it slow."
Akerman and her husband of six years, Roberto Zincone, ended their relationship in November. They have a son, Sebastian, who turned 1 April 16.
"There's so much love," Akerman has said of becoming a mom. "In such a crazy way, you just keep pinching yourself because they grow so much all the time. Every single moment you have you just squeeze it in and you spend it with your baby."