Maybe New Couple…Taylor Swift & Jake Gyllenhaal

Taylor Swift was spotted this weekend with Jake Gyllenhaal, which seems so random. All I know is he better not turn on her because she will write a song about it! Do you think guys are scared to date her because of her very honest songs?

Taylor Swift and Jake Gyllenhaal spent the weekend laughing, eating and strolling together in New York City.

First, the two attended the broadcast of Saturday Night Live in Manhattan, which was hosted by Swift’s good friend, Emma Stone.

“They showed up together,” a source tells PEOPLE. “They walked around

BEVERLY HILLS, CA - OCTOBER 18: Actor Jake Gyllenhaal arrives at ELLE's 17th Annual Women in Hollywood Tribute at The Four Seasons Hotel on October 18, 2010 in Beverly Hills, California. (Photo by Alberto E. Rodriguez/Getty Images)

together backstage, but they were careful not to be seen too close. It was hard to tell if they were together, but everyone was shocked that she brought him.”

On Sunday, Swift, 20 and Gyllenhaal, 29, brunched with another couple in Brooklyn and, says an onlooker, looked “friendly.” They were also spotted together strolling around Brooklyn’s Park Slope neighborhood.

While reps for the two stars had no comment about their relationship, thePrince of Persia star might be just Swift’s type.

Check out this real pic of the duo? What do you think would they make a good couple?

Photo from PR Photos

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