The Argentine attacker became Spurs’ record signing last year as he completed a £30m switch to White Hart Lane from Roma as a part of the club’s £110m overhaul.
Lamela was expected to replace Gareth Bale – who joined Real Madrid – but he has so far struggled to make an impact in London.
The 21-year-old is said to be finding it difficult to adjust to life at his new club, for whom he has only featured a handful of times.
A January loan switch back to Serie A was mooted last month, with the player’s father hinting that it was desirable move.
Spurs instead kept their talented forward, but a niggling back injury hasn’t helped his quest to become a first-team regular under Tim Sherwood.
Inter are ready to make a move to offer him an escape route when the transfer window re-opens, and are hopeful that Lamela will jump at the chance to return to familiar surroundings.
It remains unclear as to whether or not Tottenham will want to sell, but if they do they’ll look to recoup the majority of the fee paid for the South American last summer.