The men in green secured their place in the World Cup quarter-finals with a 16-9 win over Italy at the Olympic Stadium, with outside-centre Keith Earls getting the only try of the game.
Schmidt was pleased to get the win over the resilient Azzurri but feels his side must keep improving if they are to get the win in the Pool D decider against Les Bleus.
He was quoted by the BBC, saying: "That game was exactly what we expected. We have been allowed to cruise through the first two games and it was a shock to the system to come against a tier one side who needed to win to stay in the tournament.
"I said last week we would take a one-point win, so a seven-point win is good enough."
"France are another level up - we will have to raise our game again. We will work on that this week and hopefully come up with the goods," he added.
A win for either Ireland or France at the Millennium Stadium in Cardiff would mean they are likely to miss playing the reigning world champions New Zealand in the quarter-finals.