The Serie A champions are exploring the possibility of re-signing the 26-year-old midfielder.
It is claimed Pogba has not ruled out the possibility of returning to the club.
Pogba quit Juventus for a second spell at United in 2016 for £89m, which was a world-record fee at the time.
The World Cup winner has failed to justify his price tag, however, with his form repeatedly coming in for criticism from pundits and fans.
Pogba first left United for Juventus in 2012 after struggling to break into Sir Alex Ferguson’s first team.
He rose to prominence with the Old Lady, making 178 appearances in all competitions as he helped the club to four Serie A titles before returning to Manchester.
Juventus are set to face competition from Real Madrid, however.
Zinedine Zidane remains eager to bring his compatriot to the Bernabeu after missing out in the summer.
The Spanish capital club are plotting an offer worth £68m plus Isco to tempt United into selling.
Pogba has hardly featured this season after sustaining an ankle injury which has sidelined him since September’s draw with Arsenal at Old Trafford.
Ole Gunnar Solskjaer is reportedly targeting a date of December 7 for his return to action.
On that day, the Red Devils travel to local rivals Manchester City in the Premier League.
A source told The Sun: “Ole wants to reintroduce him off the bench in the game if at all possible.
“He has kept himself pretty fit in terms of his core fitness. He’s always in top shape, to be honest.”