The Schalke midfielder was withdrawn just 33 minutes into the world champions' 4-2 friendly defeat against Gerardo Martino's side in Dusseldorf on Wednesday and will miss Sunday's Group D opener at Signal Iduna Park.
"It could have been a lot worse if I had made two or three more sprints," said Draxler.
Jerome Boateng could be back in the starting line-up on Sunday after the defender missed out against Argentina through injury.
Fellow centre-back Mats Hummels is not expected to be fit enough to play against Gordon Strachan's side.
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