The two were spotted together on Thursday at Kenny Chesney’s concert in Nashville and concertgoers were able to see them holding hands, TMZ reports.
Swift is said to have “sat on his lap” for a long time and a source said the two even kissed.
TMZ also posted a short video in which they are seen holding hands while leaving the concert.
Taylor attended the concert because she is a friend of Kenny and she also took the stage and performed with him.
The alleged couple was first photographed talking to a fan at Nashville’s Whole Foods on Wednesday, both wearing matching outfits.
Taylor was spotted with Calvin Harris in Nashville today! This is just a coincidence or they wore same t shirt? pic.twitter.com/dQ08eRTZVI
— Taylor Swift (@SwiftInstinct) March 26, 2015
Interestingly, Harris said in an interview in November that Taylor Swift “is just the opposite of my type”.
Swift hasn’t been in a serious relationship since she broke up with Harry Styles in January 2013. Before that, she was linked to Jake Gyllenhaal, Joe Jonas, Conor Kennedy, Taylor Lautner and John Mayer.
For his part, Harris has been in relationships with Rita Ora and model Aarika Wolf.