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The 28-year-old, Germany's vice-captain, suffered the injury during the second-half of Bayern's 3-0 win at Mainz 05 on Saturday, but still finished the 90 minutes, and the win kept Bayern top of the German league table.
Schweinsteiger needs three days rest and has told Germany coach Joachim Loew he will not be adding to his 97 appearances for his country in Paris having also missed the goalless draw with Holland in Amsterdam last November.
Hamburg goalkeeper Rene Adler is set to make his first Germany appearance against France, Loew has confirmed.
The 28-year-old lost his first-team place after breaking ribs before the 2010 World Cup, but impressive displays for Hamburg in the Bundesliga this season have earned him a recall.
Bayern Munich's Manuel Neuer will be on the bench at Paris' Stade de France as Germany look to avenge their 2-1 defeat at the hands of the French in Bremen in February 2012.
"It's planned that he will play 90 minutes," said Loew when asked about Adler's return.
"We want to give Rene the chance to be there and to integrate himself.
"Manuel Neuer will play in the two (World Cup) qualifiers against Kazakhstan (in March), because he's our number one, of course."
Having won the last of his six caps at the 2010 World Cup, there is no place in Loew's plans for Bayer Leverkusen striker Stefan Kiessling, despite the 13 goals he has scored in 19 Bundesliga games this season.
"Stefan has already been in the squad and is no longer a young player, so it wouldn't be fair to bring him back in for only a short stint," explained Loew.
"I will assess the situation again and again, but I will not bring him back, unless I can offer him reasonable hope and perspective."