Amrabat is being viewed by Spurs as a replacement for Tanguy Ndombele, who has been on the transfer list this month.
Sky Italia says the Morocco international is admired by Spurs manager Antonio Conte, who is pushing for his arrival before next week's deadline.
Currently away at the Africa Cup of Nations, Amrabat is prepared to leave the Viola, though has been keen on a move to Torino.
But Spurs' interest could now force a rethink.
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