Director Marc Webb recently revealed that he is unsure whether he would return for a second film, but according to The Hollywood Reporter Garfield has no such reservations.
"If we do one, I hope I can do it - I hope they'd let me do it," Garfield mused. "I hope so.
"I think we want to get this one out. They already have a release date for the second one, but no script! So we have our priorities in order."
It was reported in April that Star Trek writing team Alex Kurtzman and Roberto Orci had been hired to write The Amazing Spider-Man 2, with a release date set for spring 2014.
The Amazing Spider-Man is released on July 4, and reviews so far have been generally positive.
Watch Garfield speaking to Digital Spy at the London premiere of The Amazing Spider-Man below:
Photo gallery - The Amazing Spider-Man London premiere: