BBC acting director general Tim Davie will be handed the report this afternoon (December 18), The Guardian reports, with publication to follow on Wednesday or Thursday.
Ex-head of Sky News Nick Pollard has led the investigation into why last year's programme was pulled from the schedules.
It has been claimed that the programme about Savile's abuse of children was pulled as the broadcaster had planned a series of shows in tribute to the TV presenter, who died last October at the age of 84.
A BBC Panorama programme titled Jimmy Savile - What the BBC Knew later explored the dropping of the original show.
Newsnight editor Peter Rippon has maintained that the investigation was dropped purely for editorial reasons. Rippon later "stepped aside" from his position.
Last week, Mark Williams-Thomas confirmed to The Guardian that he had not given evidence to Pollard, despite his involvement in the original unaired programme.
The controversy surrounding Savile's abuse, the axing of last year's show, and the later flawed Newsnight edition which wrongly implied that Lord McAlpine had been involved in the abuse of minors led to the resignation of director general George Entwistle.
In addition to the Pollard report, the BBC is awaiting the findings of a second investigation by BBC Scotland director Ken MacQuarrie into the November 2 episode of Newsnight which led to the wrongful allegations against McAlpine, although it did not name him.
Iain Overton resigned as editor of The Bureau of Investigative Journalism, which had co-produced the Newsnight episode concerning McAlpine.