Spanish left-back Nacho Monreal could also feature at Goodison Park, while midfielder Abou Diaby is closing in on a return after being out for more than a year with a serious knee injury.
"Aaron and Nacho Monreal are back training with the squad, so that is good news. Hopefully they will be available for Sunday. Diaby is back on the pitches, so that is good news," said Wenger.
"The FA Cup will be too soon for Ozil, but he will hopefully be back soon after that," added Wenger.
For breaking stories and all the great banter like us on Facebook: facebook.com/tribalfootball