Dick Pound expects the IAAF to investigate allegations that former president Lamine Diack was influenced by sponsorship payments when he cast his vote for which city should host the 2020 Olympic Games.
Tokyo beat off competition from Istanbul and Madrid to win the rights to host the 2020 Games, with an announcement made following a secret ballot of International Olympic Committee (IOC) members in 2013.
On Thursday, an independent commission set up by the World Anti-Doping Agency (WADA) - chaired by Pound - released part two of its report into the doping scandal that has engulfed athletics.
And a footnote to the report read: "Transcripts of the various discussions between Turkish individuals with KD [Lamine Diack's son, Khalil] make reference to a discussion regarding the Olympic city bidding process for the 2020 Summer Olympic Games.
"It is stated that Turkey lost LD's [Lamine Diack's] support because they did not pay sponsorship moneys of $4 to $5million either to the Diamond League or IAAF.
"According [to] the transcript the Japanese did pay such a sum. The 2020 Games were awarded to Tokyo. The IC [independent commission] did not investigate this matter further for it was not within our remit."
Speaking during a news conference in Munich that followed the report's publication, former WADA president Pound said: "We've had reports from people that seem to know what they're talking about and we've brought that to the attention of the IAAF and recommended they take a forensic look at that to see if there's anything to the allegations."
Diack, who was replaced as IAAF president by Sebastian Coe last year, is under investigation by French prosecutors as part of a corruption inquiry and was suspended from his role as an honorary member of the IOC in November.
Papa Massata Diack, Lamine Diack's son and a former marketing executive at the IAAF, is facing allegations of extortion and bribery, but has firmly denied wrongdoing on the part of himself or his father.