World Cup: fifa President Sepp Blater keen to keep report findings secret
American lawyer Michael Garcia investigated the bidding processes for the 2018 and 2022 World Cups, filing his findings to Fifa this month.
Garcia wants his report published, and Uefa president Michel Platini is not opposed to it being disclosed.
But Blatter said Fifa is "bound by regulations".
Any decision to publish now rests with Fifa ethics chief Hans-Joachim Eckert, who is currently considering the report and is expected to announce his ruling next spring.
The 2018 World Cup was awarded to Russia with Qatar selected for 2022.
The decision comes in a week when the Qutar authorities denied rumours that the tournament might have to be moved elsewhere - with the USA heading the list of alternatives.
As well as Garcia, who is the chairman of the investigatory chamber of Fifa's ethics committee, Fifa vice-presidents Jeffrey Webb, Prince Ali bin Al-Hussein of Jordan and Jim Boyce have also called for the key findings of the report to be made public.
Blatter also confirmed he would stand for a fifth term in charge of world football in an election next year.
The 78-year-old has been Fifa's leader since 1998, and he said: "I have announced to the executive committee... that I will accept the demands of different associations and federations (to stand for election) to serve Fifa for a fifth mandate."
Blatter has not yet submitted formal nomination papers, which must be signed by five of Fifa's 209 member associations, with 29 January the deadline to do so.