The Swiss star – a former West Ham player – looks set to leave the Italian giants this summer after making just 16 Serie A starts this season.
Everton have been linked with the versatile 29-year-old, yet now it is thought that Spurs are the English side most likely to lure him back to the Premier League.
Behrami spent two and a half seasons with the Hammers before switching to Fiorentina, and was often praised for his energetic showings and ability to fill a number of roles.
Tottenham chief Daniel Levy is thought to see him as a wise addition, and one that could prove to be cost effective as he is able to cover at full-back, on either flank or in central-midfield.
Although he is not longer a first-team regular at Napoli, it is thought that the Naples-based said will demand around £10m for his services.
There have even been suggestions that San Paolo chief Rafa Benitez could be willing to offer Behrami as a makeweight in a deal for unsettled Lilywhites defender Jan Vertonghen.