The 31-year-old Parks and Recreation star and McBroom have been dating since earlier this year. McBroom is a trained pastry chef who has worked at Momofuku Noodle Bar and Momofuku Milk Bar in New York.
"Courtney has pretty much moved into Aziz's place in LA," a source tells Us Weekly. "They've been visiting the city the past few days. He's writing a book about relationships as well lately, and is on deadline for that."
The couple keep their relationship out of the spotlight, but the actor did provide some details to Billboard in May.
"I met her years ago when she was seeing someone," Ansari revealed. "I thought she was really cool. Then I ran into her randomly, and she was single. I've kind of settled down. I was the guy eating Skittles and having lots of fun, and then I was like, 'I need a nice nutritious salad' -- she's the salad."
Ansari will reprise his role as Tom Haverford on season seven of Parks and Recreation. The NBC comedy returns for its final season in spring 2015.