Liverpool, Arsenal and Manchester United have all been linked with a move for the goalscorer in the past.
Spurs are pushing to bring in another number nine this month given the injury to Harry Kane, and Poland international Piatek has emerged as an option, according to The Guardian.
Piatek’s immediate future is in doubt with the Rossoneri having just re-signed talismanic striker Zlatan Ibrahimovic.
The veteran is likely to take Piatek’s place in the starting XI, with the 24-year-old having been in poor form this season.
The £30 million signing from Genoa has netted just four times in 18 appearances in 2019/20 so far.
Spurs would reportedly prefer a loan move, suggesting they see him only as a means of covering Kane’s absence.