Uefa president Michel Platini wants Fifa to publish the report into alleged World Cup bidding corruption.
FIFA president Sepp Blatter previously rejected calls to publish the report by American lawyer Michael Garcia, the man who compiled it.
“I have no issue with the findings and recommendations being made available to the public,” said Platini.
German judge Hans-Joachim Eckert is now considering the report and will announce his findings in November.
“As long as the regulations of the FIFA code of ethics regarding the actual investigation are respected, I support the publishing of the report,” added Platini in a statement.
Platini is the latest senior Fifa figure to break ranks after Garcia called for greater transparency.
“I believe it is now necessary for the Fifa executive committee to authorise the appropriate publication of the report,” said Garcia.
The 2018 World Cup was awarded to Russia with Qatar selected for 2022.
Garcia, the chairman of the investigatory chamber of Fifa’s ethics committee, filed his report with the governing body this month.
Fifa’s executive committee started a two-day meeting on Thursday, with the debate over Garcia’s report set to be high on the agenda.
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.
And Fifa presidential candidate Jerome Champagne tweeted his agreement: “It is essential to protect the sanctity of the World Cup as a celebration of football and of our universality. It will contribute to the efforts to reconcile FIFA with the football lovers around the globe.”
Garcia added: “Publication would be consistent with statements made by a number of executive committee members.”
Speaking on Tuesday, Prince Ali bin Al-Hussein, who was not on the executive committee for the 2018 and 2022 bids, said: “The entire football family and those who follow the game worldwide have a full right to know the contents of the report in the spirit of complete openness.
“It is important that the much-anticipated report on the ethics investigation that is crucial to ensuring good governance at Fifa is fully disclosed to the Fifa executive committee.
“The main findings should also be fully disclosed to the general public.”