"They do have a couple of tough games but with Liverpool coming off the back of a big European game, you would have to imagine Arsenal would win that," Scholes told MUTV.
"We are still hoping but all we can do is concentrate on ourselves. If second comes great, if not we still have the FA Cup Final coming up and we are determined to win that."
Scholes is relishing thoughts of taking on Chelsea next week:
"We have known for a long time Chelsea were going to win the championship and we expected them to win it at Bolton on Saturday. But next Tuesday we have to let them know we are still about and ready for next season."