"Personally, the character means a lot to me because the character has done so much for my career. You know, it put me in the position where I have a lot more choices of the kind of movies I want to make," he said in Tokyo.
The Bourne Ultimatum, directed by British Oscar-nominee Paul Greengrass, will hit Japanese cinemas next month, after having enjoyed financial successes and waves of flattering reviews elsewhere.
The first two films in the Bourne series - The Bourne Identity and The Bourne Supremacy - earned more than US$500 million worldwide, and Damon kept open the door for further sequels.
"If Paul Greengrass, maybe years down the road, was interested in doing another one, then I would do it, too," he said. "I don't think either of us completely put the character to bed yet."
But he ruled out a showdown with his fellow spy across the Atlantic, James Bond, now played by British actor Daniel Craig.
"He keeps himself in very good shape. I would like to avoid any confrontation with Daniel Craig if I can."- agencies
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