Derek Chinnery, Radio 1 controller from 1976-85, said he asked the entertainer about "these rumours we hear".
BBC: Jimmy Savile 'asked about rumours' by BBC boss
During Mr Chinnery's era in charge, Savile was presenting a weekly show broadcasting charts from previous decades.
Around the same time Radio 1 department head Derek Chinnery was asked by Mr Muggeridge to confront Savile with the allegations.
BBC: UK
"And he said that's all nonsense, " Mr Chinnery told BBC Radio 4's Broadcasting House, adding "there was no reason to disbelieve" the late DJ.
In an interview with BBC reporter Sima Kotecha for the Broadcasting House show, Mr Chinnery said he approached the star directly when he heard rumours relating to his private life.
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