The Reds were uncharacteristically lax in allowing a three-goal lead slip against Red Bull Salzburg in the Champions League before eventually prevailing 4-3 on Wednesday.
"I think if we want to win we have to play better because we know Leicester, especially this season they are very strong and a very good team," Mane said.
"For sure we are going to learn from it (the Salzburg game) and be ready for Saturday, which will be a massive game for us. It is a lesson for us to be on our toes in the next game.
"I think they started the season very well and are a very good team and if we want to beat them we have to be 100 per cent ready.
"Vardy always scores so we have to make sure this game he will not score and we try to take all our chances - that will be the key."