Could Taylor Swift be on the road to penning a song called "Dear Jake"? Has Jake Gyllenhaal found a blonde to get him past Reese Witherspoon?

Although it's not yet known whether Taylor and Jake are officially dating, the two are most definitely friends. The 20-year-old singer and the 29-year-old actor were spotted spending parts of their weekends together in New York City.

On Saturday night, Swift and Gyllenhaal both took in a taping of Saturday Night Live. "They walked around together backstage, but they were careful not to be seen too close," a source told People. "It was hard to tell if they were together, but everyone was shocked that she brought him."

The following day, the two were seen brunching in the Brooklyn area. Although no touching can be seen in the pictures Perez Hilton posted, Life & Style claims they held hands during a stroll.

Neither star's rep would comment on the relationship.