Hamilton has won the last three races to move to within 12 points of his Mercedes teammate Rosberg.
But Rosberg only needs a top three finish this weekend to clinch his maiden title and stop Hamilton from becoming the first British driver to be crowned a four-time Formula One world champion.
Hamilton, who drove superbly in the wet to finish first at the Brazilian Grand Prix, was in no doubt of the scale of the task he faced, telling the formula1.Com website: "It's not been a perfect season and I'm faced with pretty impossible odds no matter what I do this weekend.
"I'll be proud of myself and what I've achieved as long as I feel I've given my all and performed at my best. Whatever happens, I'm proud of everyone who's been a part of the success we've shared over the past few years.
"I'm approaching this weekend the same as I do every race. I want to win and I'll give it everything to finish the season on a high."
Meanwhile Rosberg, bidding to emulate his father Keke, the 1982 world champion, said: "In Brazil, after the race, I was joking that I would still be taking things one race at a time, but the more I think about it, the more that's actually not as crazy as it sounds. I have to treat this like any other race."
"I have great memories from winning at this track last year and it's somewhere I've usually been strong in the past, so I have every reason to feel confident.
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