De Bruyne, who scored eight goals and provided 16 assists in City’s record-breaking league title triumph last season, picked up the injury in training last month.
However, he has said he could be back at training next month, as he targets a return in time for the Derby at the Etihad Stadium on November 11.
“I still need three, four, five weeks, but I’m getting there.
“Hopefully I can be back soon, help the team, and perform well. I’m hoping to be back after the next international break. I think I will be back for the derby,” De Bruyne said at the launch of FIFA 19 on Thursday.
Meanwhile, City are currently third in the league standings with 13 points.