The French international midfielder was signed for just €3m from United in the summer of 2012, but has since flourished into one of the world's premier central midfielders.
Juve boss Antonio Conte has his eye on a number of players as potential replacements for Pogba.
Serie B starlets Appelt Pires, a Brazilian midfielder on loan at Spezia from Juve, and Marcel Büchel, another Juve youngster on loan at Lanciano, could step into the breach next term.
Matteo Gerbaudo and Andrea Zanchetta have both also been earmarked as future Juventus first-team players and are expected to make the step up at the end of the season.
United, who are thought to be keen on recruiting another central midfielder, have been linked with Pogba in a move that would echo Chelsea's recent purchase of Nemanja Matic.
The Serbian featured for Chelsea's youth teams before joining Benfica and then re-joining the Stamford Bridge club this January.
As well as United, French champions PSG and Real Madrid are also thought to be keen on Pogba.