Seamus Coleman will be sidelined for two weeks with a stress fracture of the foot, while James McCarthy has returned to training following his leg break in January.
The Republic of Ireland captain was an injury concern ahead of next month’s Uefa Nations League double-header in Dublin, but the Toffees expect the Donegal man to be back in action within a fortnight.
Coleman suffered the injury in the 4-1 defeat to Wales and missed the subsequent 1-1 friendly draw with Poland, but should be fit for selection for next month’s Nations League games with Denmark and Wales.
McCarthy meanwhile took another step on his road to recovery as he rejoined first-team training.
The 27-year-old suffered a double leg break in a clash with West Bromwich Albion striker Salomon Rondon back in January, and has posted videos on social media outlining his progress to date.
Everton have a number of injury concerns for Sunday’s visit of West Ham in the Premier League.
Richarlison serves the final match of his suspension while Phil Jagielka (knee), Andre Gomes (hamstring) and Michael Keane (head) are still absent.
Theo Walcott, Idrissa Gana Gueye, Dominic Calvert-Lewin and Bernard all in contention, while defender Yerry Mina trained with the squad for the first time since his £28m summer move from Barcelona after recovering from a foot injury.