The BBC comedy came to an end in January 2010, but further specials have been rumoured since, with co-creator Ruth Jones saying that she would like to make a musical as well as a new episode.
"It would be a crime not to [make more episodes]," Corden told the Daily Mail.
"It's a great show, writing with Ruth is a gift. I definitely plan on doing more."
Corden also said that he is still good friends with his former Gavin & Stacey co-star Mathew Horne and that he has been invited to Horne's wedding in September.
The pair had become best friends, but parted ways after their BBC Three sketch show and movie Lesbian Vampire Killers were panned by critics.
Corden added: "He's still a really good mate."
Joanna Page recently told Digital Spy that she doesn't expect Gavin & Stacey to return as its stars are now too busy.