Danny Jordaan could not be reached for comment on Sunday, but he is quoted as insisting the money was paid to the Confederation of North, Central American and Caribbean Association Football (Concacaf) in 2008 as South Africa's contribution towards their football development fund
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The BBC's Andrew Harding in Johannesburg says unnamed officials have confirmed that the payment was made to support football development among members of the African diaspora - something which does make sense in the political context of the time.
The latest reports come with Fifa - the governing body of world football - in crisis. Senior Fifa officials face a string of bribery charges
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Its head, Sepp Blatter has not been implicated but has faced calls to stand down. He was re-elected as Fifa president on Friday.
In other developments:
Two UK banks have launched internal reviews into whether they were used for corrupt payments by Fifa officials, the BBC understands
Sepp Blatter's daughter Corrine has told the BBC that there was a conspiracy against her father who is not corrupt and has "earned every penny"
English Football Association chairman Greg Dyke has called on the president of Uefa to show strong leadership to unite Europe behind a collective boycott of the 2018 World Cup.
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