"The very funny thing is that all of you have seen every single move I make, so I guess I can leave that up to you to decide," he said to reporters at the New Moon press conference in Beverly Hills on Friday.
Still, he said he's a bit uncomfortable at the idea of her writing a song about him.
"That's a scary thing," he said. "I don't know if she has. I have no idea."
Asked whether they are an item, the singer, 19, told CMT Radio's Cody Alan, "I don't know."
The two -- who attended a hockey game together in L.A. and had dinner with Swift's mom two weeks ago -- appear in the ensemble romantic comedy, Valentine's Day, out next year.
"That movie was a lot of fun," Lautner said at the conference for New Moon, which hits theaters Nov. 20. "Taylor was great... so I'm excited to go and see that."