Us Weekly released photos of the pair strolling near Gyllenhaal's house with Gyllenhaal's daughter Ramona.
Swift has been rumoured to be dating Jake Gyllenhaal since early November, when the pair were first seen lounging by a pool and getting ice cream in Big Sur, California. Recently, Swift and Jake Gyllenhaal spent Thanksgiving at Maggie Gyllenhaal's house.
When asked how Thanksgiving with the popstar went, Maggie Gyllenhaal gave a succinct: "Great."
MTV News reports that when asked for details about her weekend, Swift declined to answer.
"I write in great detail about my personal life, but I don't talk about it." said Swift.