McLaren managing director Jonathan Neale says the British driver is close to signing a new deal with the F1 team.
Lewis Hamilton closes in on new McLaren contract
Hamilton has been linked with several moves away from McLaren, but looks likely to stay on for at least another season.
The Englishman made his debut for McLaren in 2007, finishing second in the drivers' standings before taking the world championship the following season.
Neale said both McLaren and Hamilton were hopeful of reaching an agreement.
"We are closer and of course we are in dialogue," Neale told Sky Sports.
"For obvious reasons I can't speculate more at the moment. We are working very hard to find a common ground."
"Mathematically it is still possible, 25 points for a win and it doesn't take much to switch those," he said.
"We have got a quick car. Our car was in better shape than Ferrari at the last race. He is a fighter, he loves a challenge. He just needs a sniff of it and to feel that the team is behind him and pushing.
"And I think if he feels we are pushing and bring the upgrades and dealing with the issues as they arise then he will be fighting for the title at the end of the season."
Follow us @SprtNationalUAE