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."
The stars of "Orange Is the New Black" take Paris by storm on today's Celebs Gone Social.Watch Video »
Check out Kylie Jenner's most stylish swimsuit posts on today's Celebs Gone Social.Watch Video »
See how Sarah Michelle Gellar, Cindy Crawford and more stars celebrated Cinco de Mayo on today's Celebs Gone Social.Watch Video »
See what Hugh Hefner's former girlfriend has to say on Replay hosted by Wonderwall's Kirby Kristen.Watch Video »
Khloe Kardashian greets a giraffe, cuddles a chimpanzee and kisses a tiger cub on today's Celebs Gone Social.Watch Video »
Bares it All
"SYTYCD" star tWitch chats waxing for "Magic Mike XXL" and raps "The Fresh Prince of Bel-Air" theme song.Watch Video »