The 20-year-old French midfielder left United last June, despite being promoted to the senior by then-coach Alex Ferguson, after a contract wrangle with the English club.
Pogba has since become a first team regular for the Old Lady, and made his debut for France earlier this year.
The youngster was heavily linked with Arsenal as the transfer window came to a close, and he recently revealed that Chelsea were also interested.
Juventus are reportedly working on a new contract for Pogba, but club president president Andrea Agnelli is pessimistic they will be able to hold on to him.
“If I was to judge it from a footballers’ point of view, Italy is no longer the final destination but a transit destination,” Agnelli said.
“I am trying to think what will be of us in two or three years’ time if we get a massive offer for one of the best talents we have today, Pogba, the French 20-year-old.
“Would we be able to retain him? I don’t know. I don’t think at the moment we have the strength to retain such a player.
“Look at what happened to Milan. They had to give away Zlatan Ibrahimovic and Thiago Silva to pay the cheques.
“At the end of the day you can be attractive, but you also need to have the economic strength.”