Alisson was guilty of a huge error in Liverpool’s 2-1 win over Leicester on Saturday.
With the Reds leading 2-0, the Brazilian goalkeeper attempted a Cruyff turn past Leicester striker Kelechi Iheanacho.
However, Iheanacho stole the ball and fed Rachid Ghezzal to score his first goal in the Premier League.
Schmeichel believes Alisson’s reaction to his mistake on Saturday showed it was playing on his mind.
But he has told the goalkeeper he must learn to put errors to the back of his mind quickly.
And Schmeichel says Alisson must persist with playing out from the back because that is what Liverpool manager Jurgen Klopp would want.
“This is a new style,” Schmeichel said.
“It’s what teams and managers are looking for. Someone who is very comfortable with their feet and can pass the ball even in tight areas.
“You lose the ball every now and then. Every single player does that, no matter where they are on the pitch.
“The worst thing he can do is compromise his style. Stay with it, be comfortable with it, that’s his way of playing.
“The next few months he will be under pressure. The media will be scrutinising every little thing he is doing.
“How is he reacting to that? Can he still go out and play at this very high level?
“That is the art of goalkeeping. That you have that ability.
“When he made the mistake, the camera was on him a few times, he looked worried. It was playing on his mind.
“He needs to work on that. It’s the only way you can survive.”