Earlier in the summer, it was suggested executive vice-chairman Ed Woodward felt United needed to bring in a marquee player to prove the transition at both managerial and chief executive level following the exits of Sir Alex Ferguson and David Gill would be smooth.
As it has turned out, neither Cristiano Ronaldo nor Gareth Bale, both linked with Old Trafford moves, have been lured to Manchester.
Indeed, following the failure to land Cesc Fabregas and Thiago Alcantara and the brutal rebuttal earlier this week of a "derisory" ?28million bid for Everton duo Leighton Baines and Marouane Fellaini, there are still no new arrivals less than a fortnight before the window closes.
Yet Schmeichel does not feel that in itself is a reason to panic.
For the Dane believes United should stick by their long-standing mantra of only signing players they feel are capable of being an improvement of what they already have.
"I would never bring in a player to make a statement," said the man who captained United to their 1999 Champions League final triumph.
"Maybe with a new manager and a new chief executive they feel a need to tell the fans Manchester United still have the power and money and can still sign the players.
"That is important because there are a lot of fans out there who are unsure about how financially strong Manchester United are and how committed the owners are to spend the money that is being created by the club.
"But the players have to be an improvement.