"No, there is no interest in Joe Hart,” Koeman said.
Joe Hart holds back the tears after Man City win
Sevilla today signed Italy international Salvatore Sirigu.
And the bookmakers believe Hart is now likely to stay at City until January at least.
Betway have priced him at 6/4 to stay at the Etihad, 2/1 to join Liverpool and 9/4 to move to Sunderland.
The Black Cats are without Vito Mannone for around three months after he suffered an elbow injury.
Jordan Pickford, David Moyes’ back up, has played just two Premier League matches at the age of 22.
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Hart captained City in the second leg against Steaua
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On Wednesday night after captaining City to victory over Steaua Bucharest Hart said he hoped to come to a solution on his future.
“We all know there is a situation going on but I feel that inside the club – outside of all the circus – we are handling it well as a good team with a good management staff,” he said.
“The support of the fans brought a lump to my throat. This is a special place for me, I don’t think there has been any secret made of that. It is a place I love to be but situations occur in football but we are men, we get on with it. I really appreciate the people of man city and it turns out they appreciate me.
“It’s a situation, we have a top manager that the club has wanted for a long, long time and he will have his opinion on things and outside of the charade and all the rubbish that is being talked, we are dealing with it like men inside and we will come up with a solution.”