The pop star, 25, and 31-year-old DJ Calvin - born Adam Richard Wiles - were seen leaving a gig with their fingers intertwined in the universal acknowledgement of affection...
And, although they seemed very keen NOT to be spotted together, the camera never lies and we think they look great together!
Taylor, looking stunning in a lace top and black skinnies, tried to sneak out of the back door of The Troubadour with her rumoured beau on Thursday night (2 April).
They had been watching rock band Haim perform at the West Hollywood venue on Santa Monica Boulevard.
The shy pair bundled into a waiting car where they were seen laughing and joking out of the glare of the cameras.
They have been romantically linked since they both attended last month's Brit Awards and were seen getting cosy at the after party...
And, if they ARE dating, they look set to become one of music's biggest power couples. Watch out Beyoncé and Jay-Z!
The Haim gig is the second time the pair have been spotted spending time with each other in recent weeks. Earlier this month, they set tongues wagging when they attended country singer Kenny Chesney's concert together - where Taylor also performed.
Taylor has previously dated John Mayer, Jake Gyllenhaal, Harry Styles and Taylor Lautner, while Calvin had a long-term relationship with The Voice mentor Rita Ora.
Just last year, Calvin was asked by a Capital FM Breakfast Show DJ whether Taylor was his type and he replied: "She looks lovely but she's the opposite of my type."
Hmm… looks like that has changed!
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Watch the official video to Taylor Swift's single 'Shake It Off':