The 'Blank Space' hitmaker, whose previous boyfriends include Harry Styles and John Mayer, has been seeing The 1975 frontman since October, reported Contactmusic.
"Taylor and Matty have been dating for approximately two months now. It started off as a mutual crush and has been blossoming more and more.
"They both have very busy schedules as The 1975 is touring and Taylor is promoting her album but whenever they can find time to be in the same city they do it," a source said.
The 24-year-old singer is believed to be quite smitten with the 'Chocolate' hitmaker.