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Recent reports suggested that McLaren would be willing to spend up to £100m in order to retain their current line-up until 2017.
Button admits he is eager to remain part of the Woking-based outfit until he quits the sport.
"When I finish racing here, I won't be racing in Formula 1 anymore," Button told Autosport. "I'm very happy here. I want to enjoy my racing and I'm really enjoying my time here. I can't see any reason to be anywhere else.
"I'm driving for one of the best teams in the world. It's a position that most drivers would love to be in and I've worked very hard for it. I might be around for three years, five years... I don't know."
McLaren team principal Martin Whitmarsh also gave the clearest indication yet that they are eager to hang onto Button's services.
"If Jenson says he is totally committed and wants to do x more years, then I suspect that we could quickly come to an agreement," Whitmarsh told Autosport. "He's a tremendous asset to the team and when we get around to that, I hope that it will be a quick and easy conversation."
Source: Planet-F1