Are Bill Murray and Jenny Lewis Dating?!

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How's this for a May-December romance?

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claims 65-year-old Bill Murray and 39-year-old indie queen Jenny Lewis -- also of Troop Beverly Hills fame -- are a thing, referring to the singer-songwriter as Murray's "current younger love interest." The two were onstage together on Tuesday night at New York City club Good Units, where Murray was celebrating his latest film, Rock the Kasbah.

"Jenny is Bill's special friend," a source told the outlet.

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Lewis even posted a sweet picture of the two on Instagram, with Murray holding out the mike to her.

However, both Vulture and UsWeekly report that the two are simply just good friends. It's also important to note that Lewis has been linked to fellow musician and frequent collaborator, Johnathan Rice, for years.

ET has reached out to Lewis' rep for comment.

Whatever the case may be, Lewis and Murray clearly had a great time at the star-studded party together, with Kate Hudson, Bruce Willis, Zooey Deschanel, Lady Gaga, and her fiance Taylor Kinney, all in attendance.

Murray has been busy lately promoting Rock the Kasbah -- out Friday -- in which he plays a music manager. He participated in a Reddit AMA on Wednesday, and got candid about the pressures of fame.

"The worst thing about it, they're one in the same: You wish you could walk down the street and look at things and watch things uninterrupted," he admitted. "The shock of being recognized brings you out of this place where you're just trying to take it in. It's an obligation and you're reminded you have to show up. It's a coin with two sides. As much as I don't like the one side, the other side is what might save me."

Still, Murray has been known to awesomely surprise random fans, like when he crashed a bachelor party last May, and photobombed a couple's engagement photos last June.

WATCH: Bill Murray Clears Up 'Star Wars' Rumors

In July, the legendary comedian met Jennifer Lawrence when they both attended Comic-Con, and it's safe to say the Hunger Games star was beyond excited. Watch the cute moment below!

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