Hamilton lost out to the Ferrari driver at the season-opening Australian Grand Prix.
Hamilton, though, is hoping that with Ferrari back to winning ways, this season he will engage in wheel-to-wheel battles with Vettel.
He said: "My favourite form of racing is go-karting… because it's wheel-to-wheel all the way from start to finish. That's what I grew up living for and I lived every day in Formula 1 in my life, waiting for the day for those kind of battles."
"I hope that this happens with me and Sebastian because he's a four-time World Champion, one of the best of our generation, so I think the fans are sitting on the edge of their seats for that."
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