The duo impressed the Dane during both their spells on loan at Leicester City last season. Schmeichel closely follows the Foxes' fortunes as his son, Kasper Schmeichel, is the club's first-team goalkeeper.
The former United man has also followed their recent performances on the Red Devils' pre-season tour of Asia and feels they could be ready for a step up into David Moyes' first-team squad.
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"I’m thinking about Jesse Lingard who is coming home from the tour as top goalscorer.
"He had a very brief stay at Leicester and it didn’t really come off for him but he played for the Reserves again and was the best player in the Reserves squad. Maybe - just maybe - this is his opportunity and this is his year. It’s very interesting and, again, something for David to make a decision about.
"I feel this game against AIK is the last opportunity where he can really have a feel about the team and try out one or two combinations so it’s a big game for David and a big game for the players.
"Michael Keane had a really good season with Leicester and was very successful with them, Jesse less so, but they can work towards the same goal, having that experience makes players think about the future and which role they can have.
"No doubt about it - Michael is a very, very talented young man and Nemanja Vidic not travelling gave him an opportunity but I think, when the whole squad comes together in Stockholm, David will be spoiled for choice and he’s got to find the right combination."