Kaia Gerber and Lewis Pullman first sparked dating speculation in January when they were spotted celebrating Lewis’ birthday in Los Angeles

Kaia's parents, Cindy Crawford and Rande Gerber, have met Lewis and "really like him," according to a source

Things are "going great" for the supermodel and the Top Gun: Maverick actor

Kaia Gerber’s family is fully on board when it comes to her relationship with Lewis Pullman.

Gerber, 23 — the daughter of supermodel Cindy Crawford and businessman Rande Gerber — has been quietly dating the Emmy-nominated actor, 32, and a source tells PEOPLE exclusively that things are “going great.”

“Kaia and Lewis have been spending a lot of time together, and things feel easy and natural between them. Kaia’s really into Lewis, and things are going great.”

The families have already crossed paths and hit it off. “Lewis has met Kaia’s parents, and they really like him,” the source says.

Pullman is the son of While You Were Sleeping star Bill Pullman and dancer Tamara Hurwitz and has been building an impressive acting résumé with roles in Top Gun: Maverick, Outer Range, Salem’s Lot and Thunderbolts*.

Kaia, meanwhile, has been continuing to grow her own career in both modeling and acting, most recently appearing in American Horror Story.