Fifa's vice president has told ITV News the "whole crux of the matter" is whether any of the payments allegedly made by Mohamed Bin Hammam "have a connection to Qatar's bid committee."
Football's world governing body faces fresh allegations over its decision to award the 2022 World Cup to Qatar.
Jim Boyce said: "Any evidence should be handed over to Michael Garcia and I await his report with great interest.
"He should be given full and complete control over his investigation. I'm not going to pre-judge his report."
Mr Boyce said he has "confidence" in Fifa's integrity, adding, "I have seen major reforms that have taken place since I started three years ago."
More top news
Fans can finally have their first look at Jared Leto's incarnation of the classic villain in 2016's Suicide Squad
Labour is promising to reverse the Conservative policy of privatisation in the NHS which it claims is creating longer waiting times.
The Queen and senior members of the monarchy will attend services around the world to commemorate the centenary of the battle of Gallipoli.