Monica Schipper/Getty for Netflix
On Friday, the Deadpool star, 46, shared a photo posted by his trainer Don Saladino of him working out for the movie. In the snap, he can be seen lifting two 60 lbs. barbells in each hand, with his large muscles on display.
"I'm not training for Deadpool," Reynolds wrote on his Instagram story. "I'm training to spend several months with @thehughjackman — who's not as nice as everyone thinks."
Jackman, 54, couldn't help but respond with a quip of his own, reposting the story and adding a "Ur cute" sticker with a heart.
RELATED: Everything to Know About Deadpool 3
In September, Jackman and Reynolds announced in a video posted to Twitter that Wolverine would be in the highly anticipated Deadpool 3, with a source telling PEOPLE that the role will be much larger than a cameo.
Since the announcement, the actors have continued their playful feud, mirroring that of their characters' Deadpool and Wolverine. Jackman noted the two Marvel superheroes "are opposites" and "hate each other" in the upcoming sequel.
Last month, he jokingly begged the Academy not to nominate Reynolds' Christmas movie Spirited in an Instagram video, saying the nod would "make the next year of my life insufferable."
Joe Lederer/Twentieth Century Fox Film Corporation/Courtesy Everett Collection, 20thCentFox/Courtesy Everett Collection Ryan Reynolds as Deadpool; Hugh Jackman as Wolverine
In response, Reynolds made a video advocating for a Best Actor nod for Jackman's The Son performance with "zero sarcasm here." Though he couldn't help but poke some fun at the end saying, "Wolverine and Deadpool? Who's he kiddin'? Not on your life, Chappie."
The Wolverine actor shared Reynolds' video on Instagram with the caption, "When @vancityreynolds goes high. I go higher."
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Jackman joked with PEOPLE in October that the stars will likely throw hands during production: "I think being on set with [Ryan] every day and those two on film in every city together every day … I think it's fair to say they'll be punching the s— out of each other the whole time."
But he added: "All jokes aside, I'll probably have more fun on this movie than any other I've ever done."