Sturrock said: "Jermaine's bursting to play. We will just have to see how he goes. Saturday may be too soon for him but we have got three games in a week so I think he'll figure at some point."
Wayne Rooney has returned to Everton after 13 years at Manchester United.
Germany defender Antonio Rudiger has joined Chelsea from Roma on a five-year contract.
Wayne Rooney has returned to Everton after a record-breaking career at Manchester United.