Wogan made the comments in this week's issue of the , in an interview to mark his 70th birthday on August 3.
In the interview he says: "I was considering [giving up Eurovision] before Belgrade, and now I have to say I am very doubtful about ever wanting to do Eurovision again. I think it is time for someone else to take over."
Wogan's gently sarcastic coverage has become as much a Eurovision tradition for UK audiences as sequins and forgettable pop.
Viewers watching this year's Eurovision contest in May were amazed when the usually genial Wogan became increasingly bitter in his commentary, as the scoring began to reveal that all the former Soviet countries were voting for each other, saving their highest scores for the Russian entry.
On his return to the UK, Wogan told reporters: "The voting used to be about the songs. Now it's about national prejudices. We are on our own. We had a very good song, a very good singer, we came joint last. I don't want to be presiding over another debacle."
Even without the Eurovision gig, reportedly worth £150,000, Wogan will not be short of work -- he is set to take over from 'Richard & Judy' in Channel 4's teatime slot later this year.
However, there is speculation that he will not continue as the presenter of BBC Radio 2's 'Wake Up To Wogan' breakfast show when his contract comes up for renewal next year. He has already given up presenting 'Points of View' on BBC One, which is now hosted by Jeremy Vine.
In the same interview, Wogan recounts how he first landed a job at the BBC, by sending in a tape to the Head of Gramophone Programmes, which he'd forgotten to rewind and laments the disappearance of "old-fashioned thoroughness and commitment" from the corporation.
Limerick-born Wogan was given a knighthood in 2005. He appears on the cover of this week's Radio Times in a mock-up of the film post for 'The Godfather', with the headline 'The Togfather'.
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