This according to Italian news outlet FCInterNews, who report that the Foxes could wait until the end of the season to sign the 28-year-old on a free transfer.
Leicester have set their sights on former Sassuolo midfielder Sensi.
The driving force behind the Championship club’s interest is their coach Enzo Maresca.
The Italian coach took charge of the Foxes last summer, after they had been relegated from the Premier League.
And so far they are thriving under Maresca’s stewardship, top of the Englash second division league table.
Maresca, who was formerly assistant coach to Pep Guardiola at Manchester City, is shaping Leicester into his preferred style of play.
And Sensi is a player who the coach believes would fit in well.
The Italian international joined Inter from Sassuolo in the summer of 2019. However, injuries have been a big reason why he has not played regularly.
Sensi has played for the likes of Sampdoria and Monza on loan.
The 28-year-old has been back at Inter since last summer. However, he has barely featured, not starting once this season despite largely being fit.