"Really I don't think he did," he told Martin Devlin on RadioSport.
"I just can't imagine Charlie picking up a suitcase with a quarter of a million dollars in it and bringing it back to New Zealand.
"I hope this doesn't put a smear on his name...Charlie did a huge amount for football in this country and in fact in the (Oceania) region."
Jennings is a Scottish reporter renowned for his investigations of corruption in FIFA and the International Olympic committee so his latest book The Dirty Game:Uncovering the Scandal at FIFA will hold weight.
Adding to the intrigue, the all-powerful and controversial FIFA head Sepp Blatter wanted South Africa to win the vote. Jennings linked a number of Germans and a marketing firm ISL to the alleged Dempsey bribe.
The Daily Mail excerpt quotes the book: "The arrangement was that Charlie would leave the vote, go back to the Dolder Grand hotel and collect a briefcase left for him in the cloakroom. It contained $250,000. A cab would rush him to the airport for the flight home."
"Years later we discovered in the secret ISL archives a payment to an unknown company for exactly $250,000 ... the day before the vote."