Arsene Wenger confirmed the playmaker had suffered another hamstring problem but the full extent of the damage is still to be revealed.
Wenger told the club's official website : "We have bad news for Rosicky because he is a player I like to have in the side.
"He has done his hamstring again. I don't know yet [how serious it is], we have to wait 48 hours, but he will be out at least two weeks."
Rosicky told his personal website : "I don't know yet the seriousness of the injury; the doctors will tell me that on Friday.
"But when I felt a pull in my muscle, I knew immediately I had to leave the pitch."