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Jonathan Cheban, Anat Popovsky

Brian Prahl / Splash News

It looks like the relationship between Kim Kardashian's good pal Jonathan Cheban and his stylist girlfriend, Anat Popovsky, is heating up.

"Lately, things have been getting serious. They're together all the time. Where he goes, she goes," a source tells E! News. "Kim has met her and really likes her—and she's very picky when it comes to who dates her best friend!"

In fact, on Tuesday, the two left for an end-of-summer romantic getaway to Europe.

However, they will be back on the East Coast in time for New York Fashion Week.

The couple met in Florida over the winter while Cheban was filming Kourtney & Kim Take Miami.