Pogba was due to be out of contract at the end of this season and recently ramped up speculation that he could leave United by admitting it would be a "dream" to play for Real Madrid.
But, according to reports on Saturday (AEDT), United has moved to secure Pogba's services until at least the end of next season by taking advantage of the extension clause in the FIFA World Cup winner's contract.
United has not officially announced the deal, but boss Ole Gunnar Solskjaer appeared to let slip the details at his press conference.
"Paul's our player, he's going to be here for another two years and I'm sure he is focused on doing his best for us and we want to see the best of Paul," Solskjaer said.
"So, in the next couple of years I'm sure we'll get the best out of him."
Pogba rejoined United from Juventus in a then world-record deal in 2016, but has been hampered by injuries and inconsistent form for much of his second spell in the Premier League.
He made just 22 appearances last season after struggling with an ankle injury and has been in poor form this term as United suffered two defeats in its first three league games.