The Gunners' record signing was withdrawn with a hamstring problem at half-time as the north Londoners fell to a 3-1 aggregate defeat to Bayern Munich in the Champions League
The £42 million summer signing was replaced at the break by Tomas Rosicky with a suspected hamstring problem and was examined by Dr Hans-Wilhelm Muller-Wohlfahrt, the Bayern and Germany national team doctor, prompting Wenger to tell Sky Germany: "Ozil's injury is quite bad."
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"I don't know how long. For sure he will miss Tottenham. He's out.
"We have to make a scan to see how bad it is but he's out for a few weeks. We hope it's not so bad."
The midfielder was not permitted to speak to either English or German media after the game.
In Ozil's absence, the Gunners fell behind on the night to a Bastian Schweinsteiger goal and, though Lukas Podolski soon equalised, they were eliminated from the Champions League 3-1 on aggregate.
Lukas Fabianski saved a stoppage-time penalty from Thomas Muller but the damage was done.