Lord Patten said that instead a review in to the Jimmy Savile scandal by Dame Janet Smith would also investigate how Hall – who has admitted indecently assaulting 13 girls during the 1960s, 70s and 80s – gained access to his victims.
Speaking on the BBC’s Andrew Marr Show, the chairman of the BBC Trust said the corporation was also likely to face compensation claims from the victims.
He said: “I think to set up a new inquiry, when there is already one which is extremely well-resourced operating, would probably delay arriving at the truth.
“If we need to do more, we will. At the end of the day, what we have to do is to provide answers which will satisfy people that we have been prepared to deal with our own dirty washing.”
Asked by guest presenter Jeremy Vine whether the BBC would be liable to pay compensation, Lord Patten added: “I imagine so, but that will be a matter for the lawyers and conceivably the courts.
“I think it would be incredible to be able to do that (estimate the cost of compensation) now because first of all what needs to happen is that we need to be able to get a grip on what happened and of course, in the meantime, co-operate with the police.”
Hall, who is in his 80s, has been warned he now faces a jail term.
He was described as an ‘’opportunistic predator’’ after he appeared at Preston Crown Court on Thursday.
Recorder of Preston Judge Anthony Russell QC granted him bail on condition of residence at his home address and no unsupervised contact with children.