The 23-year-old is said to have been spending quality time with Sheeran in her hotel room in London, reported Aceshowbiz.
According to reports, Sheeran arrived at Swift's hotel and headed straight to her room one day before the BRIT Awards.
"They stayed in the room, just the two of them, until around 4 AM," a source said. He left in the car used by her earlier in the day looking "very happy" and "very pleased with himself."