Behrami suffered an anterior cruciate ligament injury in his left knee in the recent 1-0 win over Manchester City.
A statement on the club’s official website read: “Behrami underwent keyhole surgery in Italy to assess and then repair the damage on Tuesday after two previous MRI scans.
“Behrami is due back in London next week, where he will begin his rehabilitation with the club’s medical staff as soon as possible.”