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Chris Prattand Katherine Schwarzenegger’s relationship continues to heat up.

TheJurassic World: Fallen Kingdomstar, 39, andSchwarzenegger, 28, were spotted on a sunny stroll in Los Angeles on Saturday.

A sourcerecently told PEOPLEthat an engagement may be right around the corner.

“They’re such a great fit together,” the insider said. “It’s only been a few months but Chris and Katherine are both very serious about the relationship and their friends wouldn’t be surprised if they got engaged sooner rather than later.”

The source added, “Katherine has spent time with Chris’ family and they all love her too. She fits in really well with them and vice versa.”

Jason Merritt/Getty; Imeh Akpanudosen/Getty

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Pratt — who shares sonJack, 6, with exAnna Faris— has been spending a lot of quality time with Schwarzenegger since theywere first seen together in June.

The couple popped up in Georgia on Tuesday,dining at STK Atlanta. “They were fairly casual, but stylish and slightly dressed up,” a source told PEOPLE, adding that the stars were very affectionate and kissed throughout their date.

RELATED VIDEO:Chris PrattandKatherine SchwarzeneggerAre Getting ‘Serious,’ Says Source: They’re ‘Hopeful for the Future’

RoundPondEstate/Instagram

chris pratt and katherine schwarzeneggerCredit: RoundPondEstate/Instagram

Earlier in September, theyvisited the Round Pond Estate wineryin Napa, California, with pals, including Pratt’s brotherCully. And over the summer, the duoshowed PDA while getting ice creamwith Jack after going to church.

An insider recentlytold PEOPLEthat the pair is “hopeful for the future.”

“Chris doesn’t just date to date, and neither does Katherine,” the source remarked. “She’s very excited.”

source: people.com