The 18-year-old was part of the Youth Cup-winning side last season and made his first-team debut in the Carling Cup win at Leeds back in September.
The United manager says the club are in discussions with Pogba's representatives about a new contract and remains optimistic he will sign.
"We are negotiating with his agent and we want the boy to stay," he told reporters on Friday. "If he doesn’t want to there is not a lot you can do about it.
"We have an option on his contract which takes us into a year and a half away so in that respect there is not a great emergency. But we would like him to sign a new contract and if he wants to be a Manchester United player he knows what to do."
Sir Alex remains hopeful the French teenager will stay and insists he is at the perfect club to learn his trade and continue his progression.
"You hope he gets the right advice," added the boss. "All young players who remain here always do well particularly the ones with talent.
"It is down to the individual also. Matt Busby summed it up perfectly when he said you don't need to chase money at a club like Manchester United. He said it will eventually find you if you are a good enough player you will earn money. You become rich playing for Manchester United.
"Players can chase their money early in their career but at the end of it it's not the same as if they’d stayed here.