"It's a hamstring. We don't know if he can recover for the derby. We will try," City manager Roberto Mancini told Sky Sports.
Mancini said the Spaniard had not travelled with the squad to Germany for the clash with the Group D leaders. City, who cannot go through to the last 16 of the competition, will also be without suspended midfielder Yaya Toure.
The English champions host Manchester United on Sunday in a top-of-the-table clash. City are three points behind their neighbours.