The Dame Janet Smith review is expected to uncover hundreds of victims and reveal a culture of ignorance which "protected" Mr Savile.
A parallel review, being carried out into Mr Hall's behaviour while at the corporation, is being chaired by former High Court judge Dame Linda Dobbs DBE and will form part of the final report.
Mr Hall, who worked on both radio and TV, is due to go on trial later this year accused of raping two young girls.
A statement published on the review website said it had "recently received a request from Lancashire Police and the Crown Prosecution Service (North West) to postpone delivery of its report."
It went on: "The review understands that this request arises from the possibility that it might be suggested that the report could adversely affect the fairness of Mr Hall's trial.
"Dame Janet Smith and Dame Linda Dobbs appreciate the wish of many (including the victims) that the report be delivered as quickly as possible. They have, however, considered the request and concluded that, in the interests of justice, delivery of the report should be delayed."
Meanwhile, Savile's links with Woodhouse Eaves children's recovery home in Leicester are being investigated by the NHS.