Marco Silva will give Fabian Delph every chance to prove he is fit for Saturday's lunchtime clash with West Ham United.
The midfielder was withdrawn from the recent England squad because of a hamstring injury and is yet to complete a full training session with the Blues this week.
However, Silva and his medical team will continue to assess the 29-year-old before deciding on the team to face the Hammers at Goodison Park (Saturday, 12.30pm).
Everton will definitely be without striker Cenk Tosun after he picked up a minor groin injury on duty with Turkey, while Jean-Philippe Gbamin is a long-term absentee after undergoing surgery on a troublesome quadriceps muscle this week.
Club captain Seamus Coleman will serve a one-match suspension following his sending off against Burnley.
"About Fabian, we're still in doubt," said Silva at his pre-match press conference on Friday. "We have 24 hours until the game so let's see how he'll react.
"He did, not a full session with the team, but he's getting better. It's one decision we'll make tomorrow.
"JP will be out long term and Cenk Tosun... he came back from the national team with a small issue in his muscle, in his groin.
"It's nothing [serious], not too long, but he will be out of tomorrow's match."
West Ham's Declan Rice has overcome the illness that forced him out of England's 6-0 win in Bulgaria on Monday.
Aaron Cresswell and Robert Snodgrass are also back in contention following knocks but Lukasz Fabianski, Michail Antonio (both thigh) and Winston Reid (knee) are all out.
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SILVA'S INJURY UPDATE