The champions are at Arsenal on Sunday before tackling Chelsea, Swansea City and West Brom over the final weeks of the season. A maximum return of 12 points would ensure a winning tally of 96, one more than the record set by Chelsea in 2004/05.
"Well, there are four different types of challenge," the boss told MUTV. "We've got Arsenal who are chasing a Champions League position and then it's Chelsea, who are in exactly the same position as Arsenal.
"Those are challenges in different ways and we want to win the games. Our last home game is against Swansea and you always want to win your last home game. Then we're away to West Brom and they'll be trying to win their last game.
"I've said to the players it's one thing being champions of the Premier League but another thing to set a record. We have an opportunity to set the record and, hopefully, we can do that.
"If we can do that, 96 points would be phenomenal. I don’t know if that could ever be beaten but nonetheless it’s a marvellous achievement by us.”
Sir Alex is also sticking by his prediction that Borussia Dortmund will win the Champions League as the German side are odds-on to meet fellow Bundesliga outfit Bayern Munich in the final at Wembley following the first legs of the semi-finals.
"I tipped Dortmund to win the European Cup and I'm not far wrong," he said. "I think they will."