Greg Dyke fears no World Cup bid has been won without "a pile of bungs" after another FIFA official resigned this week.
Football Association chairman Dyke has questioned where the FIFA corruption ends after Wolfgang Niersbach, president of the German football federation (DFB), quit on Monday.
Niersbach stepped down amid an investigation into allegations that corrupt payments were made to officials during the bidding process for the 2006 World Cup, which was staged in Germany. He denies any wrongdoing but said he had taken the decision to quit in order to "protect the DFB".
Dyke said: "It's like the Archers, it's like a soap opera, every week something is happening. You begin to be convinced almost no World Cups have been allocated without a pile of bungs. But I was saddened what happened to Wolfgang, I like him, he was a good bloke.
"I don't know the details of what happened. It does mean another member of the UEFA executive and the FIFA executive committee has had to resign."
The FA has written to FIFA demanding answers to "important questions" following comments from suspended president Sepp Blatter which appeared to suggest Russia had been chosen to host the 2018 World Cup before the vote had taken place. The FA spent ?21million on England's bid for the tournament but Blatter's remarks implied the decision had been predetermined.
And Dyke continues to wonder where the FIFA problems will end.
"We all ask that," he said, speaking at the launch of Birmingham FA's refurbished facility.
"You have to have sympathy for some of the people who work for FIFA because there are good people there, they do a good job and work hard.
"I don't know where it ends, you need a completely reformed organisation. There are even those now talking about how you should scrap FIFA altogether.
"It's hard to see the logistics of how you can get there but it does need a totally reformed organisation.
"You can't carry on like this."