Both the American stars have kept quiet about rumours that they are embarking on a romance but a member of the public photographed the pair looking cosy and loved-up in a coffee house in Nashville.
Taylor, a 20-year-old country pop singer, was wearing a woollen hat for her date, while 29-year-old actor Jake looked casual in a dark blue sweater.
The celebrity couple looked “very cute” and “seemed close,” the photographer told website RadarOnline.
Jake was also seen with the blonde-haired singer in New York on Thanksgiving.
Despite refusing to answer questions about their relationship in the media, it seems that the pair are not trying to keep their romance a complete secret.
“They were not trying to be discreet by any means," an eyewitness told People magazine. "They were definitely a couple. They looked very happy."