Roberto Martinez says Darron Gibson will be assessed ahead of Wednesday's visit of Stevenage - but the Everton boss anticipates the game will come a few days too soon for the Irishman.
Gibson is recovering from a knee injury and is yet to feature for the Blues this term.
"Darron Gibson is progressing really well and he won't be too far away," the Spaniard told evertontv. "I think Wednesday we're going to assess him but [it's probably] a little bit too early for him.
"We need to be careful that we don't push him too early."
One player who could run out against the League One outfit is defender Tony Hibbert.
The 32-year-old returned to full training last week having missed the Club's tour of America and opening Premier League fixture at Norwich City.
Martinez said: "Tony has been very unfortunate because he was having a good pre-season and then a little niggle stopped him from being available for our first league games.
"Now he's back to full fitness and to have Tony fully fit and ready is a huge bonus. It will be great if he can be involved on Wednesday.
"I think it's important that every player is fit and available but Tony brings a bit more than that - he brings real experience, a bit of know-how in the dressing room."
Martinez also confirmed summer signing Antolin Alcaraz is expected to return to full training later this week, while winger Magaye Gueye made his comeback from injury in Monday's Under-21 defeat at Manchester City.
"Antolin is not too far away either," Martinez added. "Probably at the end of the week he will start joining the group and I expect Antolin to be fully fit after the international break."