The Brit clinched his fourth Drivers’ Championship at the Mexican Grand Prix at the weekend, despite riding home in ninth place.
And now he is hoping to sit down with Mercedes chief Toto Wolff to discuss his future.
Hamilton’s current deal expires at the end of the next season and it is thought he is wanting to stay with the German manufacturer until at least 2021.
In clinching the world championship in Mexico, Hamilton became Britain's most successful driver of all time.
Hamilton doesn't expect too many complications when it comes to sorting out the new deal.
"It is quite an easy process for us," Hamilton said.
"We already have something in place and it's really just about extending it and enhancing it, working on what more I can do for them, for the sponsors, the brand and vice versa.
Lewis Hamilton won his fourth championship on Sunday
Lewis Hamilton shares touching moment with his mum after sealing fourth world title
Mon, October 30, 2017
Lewis Hamilton shared a touching moment with his mum after sealing fourth world title during the Mexican Grand Prix
James Moy Photography/PA Images
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Lewis Hamilton celebrates with his mum after bagging his fourth world title
Now all the pressure is off, we can go and enjoy these next couple of races.
Lewis Hamilton is looking forward to the last two races of the season
"But I'm pretty sure within the next month or so we will have had time to have sat down.
"Now all the pressure is off, we can go and enjoy these next couple of races."
The Evening Standard is reporting that Hamilton’s new deal will be worth £120million over three years.
And the 32-year-old says he has no intention of stopping any time soon.
The Brit is set to stay to sign a new three-year deal with Mercedes
"I'm enjoying driving more than ever,” Hamilton said.
“Whether it's a few [years], a couple, or one, I'm still going to be here next year and I hope for a little time beyond that.
"There is a long life after Formula One and I don't want to make it any longer than it's going to have to be because this is the best period of time in my life.
"There are still great things beyond my Formula One career which I'm working on right now but I'm enjoying driving more than ever."