Leighton Baines and James McCarthy are both in contention to make their return from injuries against Swansea City this weekend.
Baines last played against Middlesbrough two months ago, while McCarthy had been sidelined since the draw at Manchester City in August.
Both have been training with the group and Koeman is ready to welcome them back to the fold.
“They have had a good week of training and they are available for the weekend,” Koeman said on Thursday.
“They started training last weekend. They have had the Monday, Tuesday, Wednesday and today’s session, plus tomorrow. That is enough sessions to be available.”
Everton will definitely be without Gareth Barry on Saturday as he sits out the game through suspension as a result of accumulated five bookings.
The setback of losing the midfielder has been offset by the return of Idrissa Gana Gueye who is back available after serving his own one-match ban.
“Of course it is always a pity to lose one of those players because they are key players in the team,” added Koeman. “I know Barry was frustrated in the second half with what happened against Chelsea, he made a foul that can expect a yellow card. That’s part of football.
“Gana is back and in one week, Barry will be back. We need to prepare ourselves because injuries and suspended players are part of football.”