The recent absence of both Enrique and Beye has highlighted the lack of depth the club has in the full-back positions, where central defenders Steven Taylor, David Edgar and Sebastien Bassong and midfielders Geremi and Charles N'Zogbia have been asked to fill in with mixed results.
The manager said: "We are looking at his position, but a lot will depend on his fitness.
The manager said: "We are looking at his position, but a lot will depend on his fitness.
"We are short at both right and left-back, and it is not fair asking young boys who are really central defenders to play there.
"When that happens, they look what they are - central defenders playing as full-backs.
"Stephen Carr is available and he is an experienced full-back, so we will just have to wait and see."
He will at least have midfielder Danny Guthrie back from a three-match ban for the trip to Goodison Park, while left-back Jose Enrique could return from a hamstring injury and right-back Habib Beye has a 50-50 chance of making the game as he continues his recovery from an Achilles problem.
Kinnear: "As far as Habib Beye is concerned, he is joining the first team squad for training tomorrow and with the fact we have an extra day, I would say that his chances of coming back are 50-50."