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John Mayer, Katy Perry

RACHPOOT-BRETT / XPOSUREPHOTOS.COM

Things are heating up between Katy Perry and John Mayer!

The twosome has been spotted around L.A. together in recent weeks, but they've been hanging out privately, too. A source confirms exclusively to E! News that Perry, 27, and Mayer, 34, have been laying low at Mayer's hideaway in a gated community in Los Angeles.

And yes, that includes overnight stays.

"She has been having sleepovers there," says a source. "It is very private and they've been sneaking in and out. It has been going on for a while."

They probably only have eyes for each other, but should these rumored lovebirds want some companionship, Mayer's house is just down the road from E!'s own Kris and Bruce Jenner's Hidden Hills home.

Keeping Up With the Perry-Mayers? We could get on board with that.