Gibson not ready for Chelsea clash
Gibson is yet to feature this term after suffering a knee injury in the Toffees' final pre-season friendly against Real Betis last month.
Defender Antolin Alcaraz, signed on a free transfer from Wigan in the summer, is also not yet ready to make his debut as he continues his recovery from a hernia operation.
Manager Roberto Martinez said: "Darron and Antolin are in training with the first team.
"Now it is a case of getting the match fitness. That could take a couple of weeks, depending on how they react.
"Darron and Antolin won't be fit for the weekend but they are not going to be too far away.
"For Darron, in a couple of weeks, he'll be getting really close."
Martinez will consider handing debuts to new signings James McCarthy and Gareth Barry for Chelsea's visit to Goodison Park.
The midfield pair were both signed on deadline day but McCarthy has trained little with the squad as yet due to international duty and also has a slight knock.
The other deadline day signing, Romelu Lukaku, will not be able to play against his parent club this weekend.
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