The Liverpool goalkeeper has recently been linked with a move to Old Trafford as an replacement for Edwin van der Sar, who is expected to retire at the end of the season.
“I’m pretty sure they would go for someone like Reina, I’m pretty sure that’s what they are trying to do,” Schmeichel told Beyond The Pitch.
“You can look at talent, you can look at young, good players, you don’t want that, you want someone that can go in straight away and give performances in 80 per cent of the games that the number one choice goalkeeper will play for Manchester United.
“Too many goalkeepers have been through in and out of the doors at Manchester United and I think now the general perception is, for this team to play well and win trophies, that position has to be someone who is of the very, very highest quality, but also with the right experience and that’s why I think someone like Reina would fit the bill.
“The rumours are very, very strong around Old Trafford with this. A lot of goalkeepers are mentioned, but Reina seems to be the one that fits in the team and if he ever was to leave Liverpool, which again there is a big, big rumour he will, Manchester United would be a great club for him to come to.
“I hope that someone like Pepe Reina will go to United when Edwin calls it a day and I hear rumours that he is going to leave Liverpool so for him to go to Man Utd would be very, very good for us.”