Didier Deschamps' side have enjoyed a successful tournament so far, coming top of Group E with two wins and a draw, scoring eight goals.
Schneiderlin has now urged his team to stay in their "bubble" and be ready for what is sure to be growing pressure as they continue to stay in the tournament.
"We'll deal with the pressure step by step," the 24-year-old told a press conference.
"It's normal, because the closer you are to the final, the more pressure there is. We need to stay in our bubble now, we need to play each game like it's a final, and win it.
"Every team in the knockout phase wants to play the final and win the World Cup so we'll keep the spirit and play our game."
Schneiderlin, who has two senior caps for les Bleus, also said France would practice penalties in training, after seeing Brazil come through the first shootout of the World Cup, defeating Chile 3-2 on Saturday.
"Until now, we did not really train, just a quick run, so I can't tell you if we'll train penalties or not," he said.
"We'll try to avoid them because it's like Russian roulette, it's 50-50 during a penalty shootout, so we'll try to end the game before them.
"If we have to do it, we have got players able to shoot. We'll see if we practice penalties at the end of the training, I think we'll take a couple of minutes to do it. We have to be ready for everything."