Blanc is one of a number of candidates Spurs are understood to be talking to following the shock departure of Harry Redknapp last week.
Redknapp was sacked after almost four years in charge, despite leading Tottenham to fourth place in the Premier League last season.
The north London side agonisingly missed out on Champions League qualification after Chelsea won the competition to take their place.
Former France captain Blanc, who played for a host of clubs including Barcelona and Manchester United, began his management career at Bordeaux where he had three trophy-laden seasons before taking the national job.
He has transformed the fortunes of a French side who were in tatters after World Cup humiliation in South Africa, leading them on a 23-match unbeaten run, including a 1-1 draw with England and a 2-0 defeat of Ukraine at Euro 2012.
Other names in the frame at Spurs include former Chelsea boss Andre Villas-Boas, Everton manager David Moyes and White Hart Lane legend Jurgen Klinsmann.
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