Jackman, 50, who has portrayed the rapid-healing mutant with animal-keen senses for 18 years, has had the longest stint as a superhero than anyone before him.
His last film as Wolverine, Logan, was released in 2017 and tied up many of the loose ends of Wolverine's journey for fans.
And despite his close friend Ryan Reynolds trying to convince him to collaborate on a crossover film between Wolverine and Reynolds' own antihero alter ego, Deadpool, Jackman is adamant he is done.
"No, but Ryan is relentless," he joked.
"He keeps coming back to me in all these ways, shapes and forms. I just said, 'You know, I just don't think the world really wants to see Deadpool with Wolverine.' Maybe a cameo from Deadpool? I just think it runs over it for Deadpool."
Reynolds, who is known for jokingly trolling Jackman on social media, argued a crossover film would help boost the Australian's career.
"I continue to do press for Hugh Jackman to comeback. God knows he's just been failing constantly since Wolverine," he quipped.
Wolverine did make a cameo appearance in Deadpool 2.