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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Chelsea have struggled to build momentum in the opening stages of the campaign and are currently looking over their shoulders at the relegation zone.
Who of Europe’s top strikers will move to England this summer?