It has been reported that the Dame Janet Smith review is expected to uncover hundreds of victims and reveal a culture of ignorance that helped to "protect" Savile.
A parallel review being carried out into Stuart 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.
A statement on the review website said Dame Janet "takes the view that the possibility does exist that publication of her report may affect the fairness of the Dave Lee Travis trial".
It said: "For that reason and in the interests of ensuring that the independence and fairness of the criminal process is maintained, Dame Janet has decided that her report should not be delivered until after the conclusion of the trial of Dave Lee Travis. The BBC is aware of and agrees with this decision."
A "more precise estimated delivery date" will be published online at a later date.