John Mayer and Katy Perry
Jackson Lee/Splash News Online
12/25/2012 AT 08:00 AM EST
Sounds like Katy Perry
and John Mayer
are taking things to the next level.
The couple, after dating for a few months
, are spending Christmas together, PEOPLE has learned.
And guess what: The pop star, 28, is bringing Mayer, 35, home to her parents, whom he has already met, according to a source.
"They're happy together and with her family for the holidays," says the source. "John really likes getting to know Katy's family better."
The couple are also getting serious about their relationship. "They've spent a lot of time together and really enjoy each other's company," says the source. "John is entirely focused on Katy."
As for recent tabloid reports that Mayer has been flirting with other women and that Perry discovered text messages on his phone, the source says, "That is absolutely not true. John would never do that to her, and Katy really trusts John."
For Perry, the holidays this year are dramatically different from 2011's. Last December, her then-husband Russell Brand filed for divorce
. Their marriage officially ended this past July.