Man-of-the-match Jean-Baptiste Elissalde said it was too premature to talk of winning the Grand Slam after France beat Wales 29-22.
The French scrum-half scored 24 points for the visitors at the Millennium Stadium to maintain France's 100% record in the Six Nations.
But he said: "We've got a Grand Slam chance but have two hard matches left.
"If we beat the Scots we still have England, who will be very keen to make up for this weekend's match."
France have now got wins over Ireland, Italy and Wales under their belt to move them to the top of the Six Nations table.
The win over Wales was their closest to date, as they fended off a late challenge from the Celts for victory.
"It's very good for the team and very good for the tournament," said Elissalde.
But the French number nine came off before the final whistle after picking up a hamstring injury.
He said: "I'm very happy for the team but I'm not happy for me because of the injury. I've ripped a muscle in my hamstring.
"But I hope to play in the final game at the Stade de France versus England in three weeks. That will be a very difficult match again."
Team manager Jo Maso said further tests would be carried to see whether Elissalde had suffered a tear.
France coach Bernard Laporte admitted he was 95% pleased after the win.
The former Stade Francais coach said: "Everthing was not perfect. We gave away some ball in the line-out and didn't make the most of our opportunities but overall it was positive.
"We absolutely had to win today. We knew it wasn't going to be easy. We saw in the World Cup that Wales caused problems to England and the All Blacks and then against Scotland."