The board has been working to try to get Barkley re-signed, and the England international was told last week by Koeman that he had until the end of this season to make a decision on his future, with the Dutchman saying at the time: "Either he accepts the contract or we sell the player."

Everton's season concludes with Sunday's Premier League trip to London to face Arsenal and asked on Friday whether there was any update on Barkley's future, Koeman said: "I don't know. It is after the game, on Monday - then we will know it."

When then asked if he felt confident that Barkley would stay with Everton, Koeman said: "No, because it is a long time that he is thinking about his future.

"But, okay. I'm not worried, because I like to work with players who like to stay.

"And - it is not about his decision - we will go on. We are looking for players in that position.

"Even if he stays, there will be more competition for him next season."

Koeman stressed Everton do want academy graduate Barkley to stay, and admitted he does not know what will happen if there is no change to the current situation come Monday.

"If you offer a player a new contract, and a good contract, that means that you like to keep the player," he said.

"I spoke to the player, the board spoke to the player and his agent. We need an answer after the weekend.

"We will see what the answer will be - and I don't know what will happen if he doesn't give any answer about that."

Koeman also said he knew of no update in terms of Romelu Lukaku, the striker who in March told Everton he will not sign the contract extension on offer.

Lukaku, currently on a deal that has just over two years left, has scored 24 league goals this season, which did have him in pole position for the golden boot until Tottenham's Harry Kane netted four times at Leicester on Thursday to take his tally to 26.

Koeman feels Lukaku must improve his game but has praised the 24-year-old Belgian for his scoring efforts, and notably suggested that while Everton "need to keep his goals", they could also do with more players who in a season can contribute over five - the amount Barkley has netted in the league this term.

Koeman said of Lukaku: "Even if he doesn't win the golden boot, 24 goals is a good number.

"He can improve - he knows that by himself. He is just 24 years old and he can improve, and needs to in several aspects, as a nine, as a target man - to keep the ball better, be stronger and do better pressing in front. But that is what we work on to improve.

"What we need is to keep his goals and find more players to score more than four or five in one season."