The "Prisoners" actor is said to be in line to reprise the role in a sequel to "The Wolverine", which opened at cinemas back in July.
James Mangold is also thought to be close to signing a contract with 20th Century Fox to return as director in the latest 'X-Men' spinoff project, according to Deadline.
The filmmaker is currently working on a deal to write the treatment for the film, with Lauren Shuler Donner producing.
"The Wolverine" performed well at the box office, becoming the second highest-grossing X-Men film of all time.
