Pogba will remain captain for the Brighton game, although Mourinho explained that Antonio Valencia will reclaim the armband when he returns to action following a calf injury.
Barcelona have signed Brazilian duo Malcom and Arthur this summer.
Pogba cost United a then-world record 89 million pounds (105 million euros, 116 million dollars) in 2016.
Paul Pogba had been linked with a move away from Old Trafford with Barcelona's interest reportedly piqued by his frosty relationship with Jose Mourinho.
Fresh from inspiring France to win the World Cup, Paul Pogba is hungry to win more trophies for Manchester United after captaining the Red Devils to a winning Premier League start with a 2-1 victory over Leicester on Friday.
Luke Shaw sealed the points seven minutes from time before Jamie Vardy headed home a consolation for the visitors.
Following a successful summer in which he helped France to win the World Cup, Pogba's future at United has been the subject of speculation over the last week of the Premier League transfer window.
The reported agreement would see him pick up 346,000 euros a week, almost double what he earns at United.
Manager Jose Mourinho has already predicted a "difficult season" if United do not do more business before the Premier League transfer window shuts.
Paul Pogba was part of the FIFA World Cup winning French team.
No date has yet been set for the ceremony to hand over France's highest award.
Four people briefly interrupted the World Cup final on Sunday when they ran onto the pitch at the Luzhniki Stadium in Moscow.
Mario Mandzukic, Antione Griezmann, Paul Pogba and Kylian Mbappe were the goal scorers for France as they lifted the FIFA World Cup trophy for the second time.
The Thai footballers, aged from 11 to 16, had been stuck deep underground after setting off to explore the cave with their coach after training on June 23.
FIFA World Cup 2018 Highlights France vs Argentina: Kylian Mbappe scored a brace as France beat Argentina 4-3 to enter quarterfinals.
The Manchester United player, who is just 25-year-old also said he is realistic and might not get a call-up to represent his country.
FIFA World Cup 2018, Highlights France vs Peru: France beat Peru 1-0 in their Group C clash to enter last 16