Are Bill Murray and Jenny Lewis dating?!

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Bill Murray and Jenny Lewis Fuel Dating Rumors

How's this for a May-December romance?

Page Six 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.

WATCH: Bill Murray Was 'Impressed' By Miley Cyrus While Filming His Christmas Special

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

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.

See Bill Murray through the years:

Bill Murray through the years
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Are Bill Murray and Jenny Lewis dating?!
SATURDAY NIGHT LIVE -- Season 3 -- Pictured: Bill Murray (Photo by NBC/NBCU Photo Bank via Getty Images)
SATURDAY NIGHT LIVE WITH HOWARD COSELL - Airdate: October 11, 1975. (Photo by Ann Limongello/ABC Photo Archives/ABC via Getty Images) L-R: BILL MURRAY;CHRISTOPHER GUEST;BRIAN DOYLE-MURRAY
SATURDAY NIGHT LIVE -- Episode 12 -- Aired 02/25/1978 -- Pictured: (l-r) Gilda Radner, Bill Murray on February 25, 1978 (Photo by NBC/NBCU Photo Bank via Getty Images)
SATURDAY NIGHT LIVE -- Episode 3 -- Pictured: Bill Murray during the 'Weekend Update' on October 21, 1978 -- Photo by: Alan Singer/NBC/NBCU Photo Bank
Bill Murray in a scene from the film 'The Razor's Edge', 1984. (Photo by Columbia Pictures/Getty Images)
CHICAGO, IL- JULY 10, 1990: Actor Bill Murray watches the 1990 All-Star Game on July 10,1990 in Chicago, Illinois. (Photo by Ronald C. Modra/Sports Imagery/Getty Images)
Bill Murray as a ventriloquist in a scene from the film 'Cradle Will Rock', 1999. (Photo by Touchstone Pictures/Getty Images)
UNSPECIFIED - JANUARY 26: Medium shot of Bill Murray as Himself wearing hat/baseball cap, huddled with Bugs Bunny and Michael Jordan; all wearing basketball uniforms in front of crowd. (Filmframe). (Photo by Warner Bros./Getty Images)
Bill Murray during 2003 Venice Film Festival - 'Lost in Translation' Photocall at Casino in Venice Lido, Italy. (Photo by J. Vespa/WireImage)
CHICAGO - APRIL 12: Celebrity Bill Murray clowns around with Chicago media before the opening day game between the Chicago Cubs and the Pittsburgh Pirates on April 12, 2004 at Wrigley Field in Chicago, Illinois. The Pirates defeated the Cubs 13-2. (Photo by Jonathan Daniel/Getty Images)
Bill Murray during 2005 Cannes Film Festival - 'Broken Flowers' Photocall in Cannes, France. (Photo by Jean Baptiste Lacroix/WireImage)
ST. ANDREWS, UNITED KINGDOM - OCTOBER 03: Actor, Bill Murray of the USA during a practice round on the Old Course, St Andrews on October 3, 2006 in St Andrews, Scotland. (Photo by Ross Kinnaird/Getty Images)
PEBBLE BEACH, CA - FEBRUARY 07: Actor Bill Murray tips his hat on the third green of Pebble Beach Golf Links during the 3M Celebrity Challenge February 7, 2007 in Pebble Beach, California. Celebrity golfers play five holes and have a chance to win up to $29,000 to be donated to the charity of their choice. (Photo by Justin Sullivan/Getty Images)
HOLLYWOOD - OCTOBER 30: Bill Murray arrives to the 2009 AFI Festival opening night featuring 'Fantastic Mr. Fox' held at Grauman's Chinese Theatre on October 30, 2009 in Hollywood, California. (Photo by Michael Tran/FilmMagic)
LOS ANGELES, CA - OCTOBER 16: Actor Bill Murray accepts the Best Horror Movie award onstage during Spike TV's 'Scream 2010' at The Greek Theatre on October 16, 2010 in Los Angeles, California. (Photo by Michael Caulfield/Getty Images)
NEW YORK, NY - MARCH 26: Bill Murray speaks onstage at the First Annual Comedy Awards at Hammerstein Ballroom on March 26, 2011 in New York City. (Photo by Dimitrios Kambouris/Getty Images)
CARNOUSTIE, SCOTLAND - OCTOBER 04: Hollywood actor Bill Murray plays his his third shot out from the bunker on the 18th hole during the first round of The Alfred Dunhill Links Championship at Carnoustie Golf Links on October 4, 2012 in Carnoustie, Scotland. (Photo by David Cannon/Getty Images)
PEBBLE BEACH, CA - FEBRUARY 07: Bill Murray walks up a fairway during the first round of the AT&T Pebble Beach National Pro-Am at the Monterey Peninsula Country Club on February 7, 2013 in Pebble Beach, California. (Photo by Harry How/Getty Images)
NEW YORK, NY - OCTOBER 06: Actor Bill Murray attends the New York Premiere of 'St. Vincent' at the Ziegfeld Theater on October 6, 2014 in New York City. (Photo by Mike Pont/FilmMagic)
SHANGHAI, CHINA - APRIL 15: Actor Bill Murray attends the 2015 Laureus World Sports Awards at Shanghai Grand Theatre on April 15, 2015 in Shanghai, China. (Photo by Ian Walton/Getty Images for Laureus)

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!

Bill Murray Steals the Show at Comic-Con, Jennifer Lawrence Fangirls Hard
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