The 2009 world champion signed a fresh deal with the Woking-based team in October 2011, which is rumoured to run until 2015.
Button will be 35 when the deal expires, but the Englishman has claimed that he does not plan to retire from Formula 1 in the near future.
"I feel very at home," Button told The Guardian. "I feel like I'd like to end my career here.
"I'm not saying that's going to happen soon. I don't see me leaving. There's no reason to. Some people decide to leave this team because they feel there's another challenge, or something's missing from their position.
"For me, there is still so much to achieve."
Button's last race victory came in the 2012 Brazilian Grand Prix.