The actor, who just finished playing the clawed hero, has neither confirmed nor denied the buzz but odds look good, reported Entertainment Weekly.
"I was on the phone with Jim Mangold last night. There are some really cool ideas that I'm dying to tell you, but that would be giving away a secret that is not even formed yet," Jackman told the website.
Mangold is in talks to return for a possible sequel. Jackman said his contract, which reportedly will need to be renegotiated after 'X-Men: Days of Future Past' premieres in May, doesn't mean he's leaving the franchise in limbo.
"I kind of am enjoying him more than ever... Being older helps playing Wolverine. He's 200 or 300 years old - no one really knows - and he's sort of world-weary. The actual working out gets harder and harder, I'll admit."
But the actor insists that the story should be good enough for the team to come back for a new movie.
"I don't want to dive into another one until we have a compelling reason to do another one. I love the character, he's kind of like a best friend to me, and I don't ever want to take (him) or the fans for granted. I think we've got a great opportunity to make something really cool, but it has to be great. That's what we're all working toward.