Barclays and Standard Chartered, as well as HSBC, were referred to in the FBI indictment of seven FIFA officials.
Barclays and HSBC have declined to comment while Standard Chartered said it was looking into those payments and would not comment further at this time.
The news comes as Britain's Opposition Labour leadership challenger Andy Burnham has called for England to boycott the 2018 Russia World Cup in protest.
Speaking to BBC, he said: "I've long had my doubts about Russia holding the next World Cup.
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FA chairman Greg Dyke has said that Britain would not be able to make a stand against FIFA without wider support.
"Putting pressure on Sepp Blatter is pretty impossible. But putting pressure on other footballing nations and putting pressure on sponsors is a good idea, I think," he said.
The proposal of a Fifa World Cup boycott was first threatened by Uefa head Michel Platini, who will meet European footballing nations next week to decide how they take a stand against Blatter.