"He is going to stay out for a few weeks, I don't know how long, but it is not that serious," the boss said.
"We have to be careful with him, he is going to recover, he is doing the recovery and is feeling better. So in a few weeks I expect to have Ben [Sesko]."
Harry Maguire will miss the clash with the Toffees, having also suffered an issue in north London. The centre-back had only just returned to the side after injury forced him to sit out of the games against Brighton and Nottingham Forest.
Kobbie Mainoo was absent for the Tottenham trip but could be available in time to face David Moyes's side as the preparation work continues at Carrington over the weekend.