The 2022 World Cup could be hosted by the United States as an alternative to Qatar, according to England Football Association chairman Greg Dyke.
On Tuesday, FIFA president Sepp Blatter announced his resignation amid the corruption scandal that has rocked world football's governing body.
Reports in the United States say Blatter himself is being investigated by the FBI in connection with the disclosure of a letter confirming a $10 million payment was made via FIFA's executive office to disgraced executive Jack Warner.
Blatter's announcement comes just four days after he was re-elected for a fifth term and follows corruption charges against FIFA officials that caused the biggest crisis in the world governing body's history.
Reacting to the Swiss' resignation, Dyke said that, since the 2018 World Cup is being hosted by European nation Russia, the tournament four years later could go to America is there is a rebid.
Dyke told ITV's Good Morning Britain: "The Swiss authorities are now looking at the awarding of the 2018 and 2022 World Cups.
"If you've read all the journalism around it, you'd certainly have doubts about the Qatar World Cup.
"If that is shown to be true and they can demonstrate that there was corruption then of course it should be rebid."
Asked if England would put themselves in the running, Dyke said: "I think it would be pretty certain it wouldn't come to Europe -- you wouldn't have two successive World Cups in Europe.
"So I would say it would be most likely to go to America, who were the runners up."
Information from the Press Association was used in this report.