Tuttosport says the Frenchman has been widely linked with a move back to Turin just four years after completing his own return to Old Trafford from Juve.
But he may have to further lower his salary demands of £11m-per-year, already down from the £15m-a-year deal he is on at United.
The report on the front page of the Italian newspaper claims that Ole Gunnar Solskjaer's side are open to letting the 27-year-old head back to Italy.
Pogba became the most expensive player in world football when he made the return to Manchester four years ago but has failed to kick on and this year has been beset by injury woes.
He has not played since Boxing Day due to a persistent ankle problem that required surgery at the start of January.