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April 03, 2015 09:15 AM

Taylor Swift may have just filled that blank space.

The 25-year-old singer was spotted holding hands with DJ Calvin Harris as the pair left a concert at the Troubadour in West Hollywood on Thursday.

The pair were out to catch a show by Haim, who also happen to be part of Swift’s fabulous circle of talented friends.

“They were holding hands and cozy together, definitely looked cute and couple-y,” a source tells PEOPLE.

A different source tells PEOPLE that Harris spent the night at Swift’s home on Thursday.

Rumors of Swift dating Harris, 31, first popped up last Thursday when they were spotting showing PDA at Kenny Chesney’s Nashville concert – where the “Shake It Off” singer made a surprise onstage appearance.

However, Harris was not by Swift’s side when she attended the iHeartRadio Awards in Los Angeles on Sunday, despite the fact that he won the award for dance song of the year for “Summer.” (Swift, meanwhile, scooped up several awards, including artist of the year.)

Both musicians are no strangers to dating people in the public eye. Swift has had high-profile romances with Harry Styles, Jake Gyllenhaal and John Mayer. Harris has dated British singers Rita Ora and Ellie Goulding, the latter of whom also happens to be one of Swift’s friends.

Taylor Swift
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Reporting by MELODY CHIU

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