Nasri played for the full 90 minutes in Arsenal's season opening 1-1 draw at Liverpool on Sunday but picked up a minor knee ligament injury during the match.
The timing is a blow for manager Arsene Wenger as Nasri was in good form during pre-season and at Anfield on Sunday.
"Samir Nasri will on Wednesday undergo minor surgery on his knee following a meniscal injury sustained during the match against Liverpool," the club said on their website (www.arsenal.com).
"Nasri, who has been in impressive form, will be out of action for a month."
Nasri, 23, made a total of 34 appearances for Arsenal last season scoring five goals.
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