Despite their effort to stay incognito, onlookers were reportedly still able to recognize Swift and Gyllenhaal who were both born in December. One bystander told the site, "Taylor and Jake were walking around Park Slope holding hands. They looked like a couple!"
Us Magazine further reported that a day before Swift and Gyllenhaal enjoyed the weekend stroll, the "Today Was a Fairytale" singer brought the "Prince of Persia: Sands of Time" actor to "Saturday Night Live" taping, which was hosted by Swift's BFF Emma Stone. Of the "SNL" time, a witness told the site, "They chatted a lot, but no kissing or hand holding or anything affectionate."
Both Swift and Gyllenhaal haven't responded on the romance rumor. The "Love Story" singer was previously romantically linked to John Mayer and Taylor Lautner after ending her relationship with Joe Jonas. Gyllenhaal, in the meantime, ended his relationship with Reese Witherspoon in November 2009.