The Football Factory star said that he would love to play the late Sex Pistols bassist, suggesting that the movie could be similar to Michael Sheen's recent biopic roles, such as Brian Clough in The Damned United and David Frost in Frost/Nixon.
"I've always wanted to do character roles," he told DS. "My ideal role would be Sid Vicious. I would love to play Sid.
"He's the total enigma. He was the most untalented, nuttiest f**ker you could ever meet, but he just had this aura that drew people in for all the wrong reasons."
Alex Cox directed a movie about Vicious and girlfriend Nancy Spungen in 1986, which starred Gary Oldman and Chloe Webb.
Dyer added: "Maybe I'm getting a little bit too old for it, but I would love to do that. Michael Sheen has made this amazing career out of portraying people and I don't think anyone's achieved that before. I'm not sure if that bugs him and he wants to do other things, but I'd like to do that with Vicious."
The actor's new flick, zombie comedy Doghouse, is released in cinemas on June 12.