Sky Sports said representatives of the 24-year-old Ivory Coast defender confirmed that a work permit had been approved following delays caused by a criminal conviction in France.
According to media reports Spurs have agreed a 25 million euro ($29.81 million) fee for Aurier, a natural replacement for Kyle Walker. England right back Walker joined Manchester City for a reported 50 million pounds ($64.61 million) in July.
Premier League leaders Manchester United are also chasing Aurier, who last season was refused entry to the United Kingdom to play against Arsenal in the Champions League.
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Aurier was found guilty in September last year of assaulting a police officer outside a Paris nightclub in May 2016 and was given a convertible two-month prison term.
He denied the charge and has appealed against the sentence, which since it is convertible usually results in community service.
(Reporting by Martyn Herman; Additional reporting by Patrick Vignal in Paris; Editing by Ken Ferris)
