Even though Jackman has talked openly about what he'd like to do with the character if a sequel happens (he wants to explore the Japanese storylines), he told Moviehole.net...
"I’m not going to flog something – or flog a dead horse, or try and make movies that people don’t really want to go and see. I have no interest in that. Even no matter how much I love the character. So there are many prerequisites".
It doesn't sound like he's tired of the role, or WANTS to leave the franchise...
"There’s a few story lines that are running my head which I think would be really cool, but unless the script is right, then I just don’t see the point in doing it. I’m probably at the point in my career where I don’t need it. And the last thing I want to do is just to push it on people, if it doesn’t warrant a full feature movie."
Click on the source link below for the entire interview.