“They like each other,” a source close to Michele told PEOPLE. “They’re getting to know each other.”
Buckley, 35, is best known for his roles on One Tree Hill, Lipstick Jungle and most recently, iZombie.
Prior to her current romance with Buckley, Michele, 29, was in a relationship with Matthew Paetz, who she split with in late February. The relationship, which lasted nearly two years, was her first following the death of her former Glee co-star and boyfriend Cory Monteith in 2013.
Despite the tragedy, Michele has always stayed positive about her dating life, telling FLARE magazine in a 2015 interview that she wanted to take her time getting back on the dating scene after Monteith died.
“I wanted to make sure that I was okay with me, feeling strong and feeling happy on my own,” she told the glossy. “I wanted to make sure that I was a whole person again and that no one was coming into my life to put me back together. I needed to do that on my own.”