By Kat Giantis
The new issue of Us Weekly features the wholesome-appearing honeys strolling hand in hand and "looking more smitten than ever" during a "romantic" Thanksgiving in Brooklyn.
(And by "looking more smitten than ever," it means "walking with matching goofy smiles.")
"Jake & Taylor in love!" trumpets the mag. "From secret dates to private weekends with the parents -- after just five weeks!"
It seems the twosome is "heating up" and Swift is "love-struck" by Gyllenhaal, whose sister, Maggie, lives in Brooklyn and presumably hosted Turkey Day festivities.
"She loves his family and he loves hers," kvells a Taylor insider.
And it's shaping up to be a big month for the pair. Taylor turns 21 on Dec. 13 (hence all the java sightings), while Jake hits the big 3-0 on Dec. 19. That means she'll be able to toast his milestone with champagne.
RELATED VIDEO: Jaylor hit Nashville
On Tuesday morning, Swiftenhaal popped into the Frothy Monkey coffee shop in Nashville, says People magazine, where Jake ordered a cappuccino with maple syrup (yes, we, too, were desperate to know his drink of choice). A few days earlier, they fueled up at the Fido café.
"They were not trying to be discreet by any means," says a coffeehouse spy. "They were definitely a couple. They looked very happy."
Penelope + North
Kim Kardashian chaperones North and Penelope as the family celebrates Mason's fifth birthday on today's Celebs Gone Social.Watch Video »
Check out Hilary's Frenchie plus more of the cutest celebri-pups to make their debut on social media in 2014 on today's Celebs Gone Social.Watch Video »
From Miley Cyrus and Patrick Schwarzenegger to Kris Jenner and Corey Gamble; check out these odd celebrity couples.Watch Video »
From Brad and Angelina to George and Amal, get the scoop on Hollywood's two biggest weddings of the year.Watch Video »
Style Moments '14
From Kerry Washington to Emma Watson, check out the biggest style moments of 2014.Watch Video »
The Rock meets his youngest fan and terrifies his makeup team during his adventures in New York City on today's Celebs Gone Social.Watch Video »
Like us on Facebook?
UP NEXTMysterious Bey
From Crowd Ignite