Irvine is at Sheffield Wednesday and has said that he is not about to leave following their relegation to League One.
Irvine is quoted in the CT as saying: "I got a surprise the other day when the Chairman Lee Stafford told me I was 6/1 for the Coventry job. "I can assure people, I'll not look for another job."
Others believed not to be in the running for the City job are David O'Leary, Gareth Southgate, Alan Curbishley, Jim Magilton and Lazlo Boloni who has reported that City have not contacted him.