Manager Arsene Wenger said on Friday the club-record signing will be sidelined "a minimum of three and a maximum of six weeks" with a hamstring injury.
Ozil, who joined Arsenal from Real Madrid for 42 million pounds ($70 million) last summer, was hurt during Tuesday's 1-1 draw at Bayern Munich which saw Arsenal exit the Champions League.
Ozil's injury adds to a list which includes midfielder Aaron Ramsey and England international Jack Wilshere.
Arsenal sits third in the league, seven points behind leader Chelsea with a game in hand
