The French midfielder is out of contract in the summer and Italian side Juventus are reportedly keen to secure his services on a free transfer.
Despite the interest from Juve, agent Mino Raiola has hinted that the 19-year-old could be ready to extend his stay at Old Trafford.
"We are talking to Manchester United [and] we know there is the interest of Juventus," said Raiola. "I had a very good meeting with the club – several, yesterday also.
"It's obviously not my decision, it's the player's and that's it. It was absolutely a good meeting with Manchester United, yes."
Pogba joined United from Le Harve in 2009.