Speaking to MTV, Jackson said Spider-Man was the superhero role that most interested him.
"Honestly, out of the big superheroes the guy that I would most naturally be a fit to play is Spider-Man, but that one is pretty well locked up," the actor said. "And, frankly, I’m too old to play that character because the parable of Spider-Man is the teenager going through puberty."
When told that Tobey Maguire had yet to sign up for Spider-Man 4, Jackson replied: "Well then, yeah. That was really subtle of me putting my name in the hat."
The 29-year-old also admitted he came close to playing Batman.
"I went and did the screen test. I was one the last four or five guys [up for the role of Batman]."
He added: "I don’t like to lose any job, but they cast the right guy. I mean, Christian Bale was excellent."
Jackson recently signed to star in Fox's sci-fi drama Fringe, a two-hour pilot from JJ Abrams, Alex Kurtzman and Roberto Orci.