The Blues captain picked up a hamstring injury playing for the Republic of Ireland against Azerbaijan in a World Cup qualifier on Saturday.
Coleman has since returned to Finch Farm to continue treatment and to be assessed by the club's medical staff and the early indications are that the injury is not as bad as feared.
Coleman has started all three of the Blues' league games this season but suffered with niggling injury problems last term that saw him start less than half of Everton's league matches.
The club are, however, hopeful at this stage that the 32-year-old's hamstring issue is not too serious, says the Liverpool Echo.
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