The midfielder's contract expires in the summer but Celtic chief executive Peter Lawwell has the option of extending it for another 12 months.
"I'll be here until Peter and Gordon (Strachan) say I don't want you any more," he said.
His former club, Yokohama Marinos, have expressed a desire to re-sign Nakamura and the Japan international again confirmed his desire to return there before he retires.
"I am thinking that I just don't want to finish my career abroad," he said. "That's the team I grew up at so that would be great to contribute to that team."