The United States international looked like he was heading for Liverpool earlier on Friday, but has now moved to White Hart Lane.
Reports claim Dempsey has joined Spurs for a reported fee of £6million.
Dempsey has signed a three-year contract with the north London club.
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Summer 2016 is set to be a very exciting time for football fans, as this is when the long awaited Euro 2016 tournament kicks off.
Since Guus Hiddink arrived at the helm, Chelsea have improved considerably after a tricky start to the campaign.