The actor said that the X-Men character - who he is to play on the big screen - is "not your typical hero".
"Creatively, we're starting to chug forward," he told MTV. "Obviously there's nothing [official]. There are only conversations and dreams right now, really."
Tatum was previously assumed to be appearing first in X-Men: Apocalypse, but hinted that he could debut as the character in a solo film.
"We've talked about it being a standalone, first, and actually trying to change the 'hero, superhero movie'," he said. "Because Gambit is not your typical hero.
"He's a thief. He walks on the grey. I'm hoping we can change it a little bit, and then ultimately feather into the other ones."
Gambit was previously portrayed by Taylor Kitsch in the poorly received X-Men Origins: Wolverine.
X-Men: Apocalypse is scheduled