According to today's print edition of Italian newspaper Corriere dello Sport, Sensi would be open to a move to the club from Tuscany.
La Viola were credited with interest in him earlier on in the window, yet with the sudden departure of Gennaro Gattuso as manager, their whole plans for the transfer window fell through.
With the appointment of new manager Vincenzo Italiano, Fiorentina have seemingly finally stabilised in terms of their plans for the coming season, and are now looking to sign new players.
While it is still uncertain whether Fiorentina will act on their interest and submit a serious offer to Inter, they are now said to be very serious contenders for signing the 25-year-old midfielder.
Inter signed Sensi from Sassuolo in 2019 on an initial loan deal, but then the deal was made permanent last summer for €20 million.
Sensi was seen as a crucial player by former Inter manager Antonio Conte, getting his Inter career off to a great start during the opening stages of the 2019/20 season, several injuries led to him struggling for playing time, with his market value now dropping to €13 million (via transfermarkt.com).
As a result, he ended up losing his place in the squad, with Conte preferring the likes of Nicolo Barella, Arturo Vidal and Roberto Gagliardini ahead of him.
With Conte leaving the club and Simone Inzaghi replacing him, Sensi has a chance to prove his worth, but going to Fiorentina could also be a good way for him to leave the club and possibly put his injury struggles at Inter behind him.