nited's decision is the earliest they have exercised the one-year option in a player's contract since executive vice-chairman Ed Woodward introduced the plus-one option in 2013.
Pogba re-signed for United in 2016 for a then-world record fee of £89million but said it is his 'dream' to move to Madrid, who reappointed Zinedine Zidane as coach in March 2019.
Unless United agree an entirely new contract with Pogba between now and the end of the season they will come under pressure to sell the Frenchman next summer as he will have just a year left on his deal.
United manager Ole Gunnar Solskjaer said at his press conference on Friday morning: "Paul's our player. He's going to be here for another two years and I'm sure Paul is focused on doing his best for us and we want to see the best of Paul.
"I'm sure in the next couple of years we'll get the best out of him."
Pogba said last summer 'it could be a good time to have a new challenge somewhere else' and his agent, Mino Raiola, told La Repubblica in January he 'wouldn't bring anyone there (United) now'.
Raiola revealed in March he wants to move a 'great player' to Real Madrid and cited Zidane's return to Madrid behind Pogba's interest in leaving United. Solskjaer was angered by Zidane's flagrant attempt to unsettle Pogba last year.
Zidane lobbied the Real president Florentino Perez to compete with United for Pogba in the summer of 2016 but Perez refused and Pogba rejoined United for a world record £89m.
Pogba's initial preference was to push for a move to Real but Raiola advised him to return to United on the proviso he would engineer a transfer to Madrid three years later.