Sepp Blatter has told TASS there was an agreement in place for the 2018 World Cup to go to Russia even before the vote took place.
Blatter, currently suspended as FIFA president, told the Russian news agency that the tournament was always lined up to go to Russia with the 2022 World Cup to be held in the United States -- until Michel Platini decided to throw his weight behind Qatar.
England, Spain/Portugal and Belgium/Netherlands spent tens of millions of pounds on bidding against Russia.
The 79-year-old, who was also heavily critical of Platini, England the United States over what he feels are efforts to force him out of his job, did not expand on who exactly had "agreed" for Russia to be hosts.
He said: "In 2010 we had a discussion of the World Cup and then we went to a double decision. For the World Cups it was agreed that we go to Russia because it's never been in Russia, eastern Europe, and for 2022 we go back to America. And so we will have the World Cup in the two biggest political powers.
"And everything was good until the moment when [then French President Nicolas] Sarkozy came in a meeting with the crown prince of Qatar, who is now the ruler of Qatar. And at a lunch afterwards with Mr Platini he said it would be good to go to Qatar. And this has changed all pattern.
"There was an election by secret ballot. Four votes from Europe went away from the USA and so the result was 14 to eight. If you put the four votes, it would have been 12 to 10. If the USA was given the World Cup, we would only speak about the wonderful World Cup 2018 in Russia and we would not speak about any problems at FIFA."
Blatter, who is facing criminal proceedings in relation to a £1.3 million payment made to Platini in 2011 and over TV rights deals sold to Jack Warner, said there was no possibility that Russia would lose the World Cup.
He added: "No, you will never lose the World Cup. It has been anchored in FIFA. There will be no change in the World Cup."
Later on Wednesday, Football Association chairman Greg Dyke told politicians at a FIFA hearing at the UK parliament in London that world football's governing body "is a corrupted organisation and it has been for 40 years," and said the FA will investigate Blatter's claims regarding the Russian World Cup.
On Blatter's comments on Russia, he added: "He basically says we wanted Russia and then we wanted Qatar. It looks like it was fixed -- he wanted that before any vote.
"But I've only recently read it. I'd like to read it again in a bit more detail and for our people to go through.
However, he said that, while he was willing to write to FIFA's ethics committee over the comments, he expected Blatter to claim TASS had misquoted him.
Dyke said: "Knowing Mr Blatter, he will say, 'The journalist got it wrong -- that's not what I said.'
"I suspect the response will be: 'No, I was misquoted.'"
Referring to the loss of £21 million on England's failed 2018 bid, which included £2.5m of public money, Dyke said it "would be very nice to get taxpayers' money back" and that "the whole basis on which World Cups have been allocated in the past has been deeply unsatisfactory."
He stressed that England had not been making plans to step in should the 2018 or 2022 tournament be taken away from the original hosts.
"We are much more interested in FIFA reform," Dyke said.