The couple was first rumored to be in a relationship after they were spotted holding hands during a stroll around Brooklyn, New York last month.
And despite telling reporters she planned to spend the holiday with family in Missouri, Swift opted for a Big Apple Thanksgiving on Thursday, which she spent with the "Brokeback Mountain" actor, according to JustJared.com.
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The stars are said to have visited the Gorilla Coffee shop in Brooklyn's Park Slope neighborhood and enjoyed a cup of coffee together.
A source tells the website, "They asked one of the coffee shop employees for help picking out beans. They both seemed super nice and wound up ordering lattes."