The Gunners picked up a 2-1 win over Fulham in the top-flight in midweek. They will be aiming for a third-straight league win against the Toffees.
Ahead of the game, manager Mikel Arteta has confirmed that Calafiori has not recovered in time from his knee injury sustained on Italy duty.
The left-back won't be involved against the Toffees, but there is a chance that Ben White and Jurrien Timber could face the Merseyside outfit.
White was absent from the matchday squad against Fulham. He picked up a minor niggle in the lead-up and was left out as a possible precaution.
Timber managed more than 70 minutes against the Cottagers. He suffered a knock to his knee early on, but managed to continue playing.
There is a possibility that both White and Timber could make the XI. Timber could start in central defence after Gabriel Magalhaes' injury.
White could feature in his customary right-back role tomorrow.