International Olympic Committee member Dick Pound wants his organisation to act with "more teeth" in response to a vote-buying scheme to land last year's Rio Olympics.
Carlos Nuzman, an IOC member who headed the organising committee for Rio, was held for police questioning this week.
The graft inquiry could overshadow the IOC meetings next week in Lima, Peru, where the Summer Games will be awarded to Paris for 2024 and Los Angeles for 2028.
Pound, a Canadian and the longest-serving IOC member, called the scandal surrounding Nuzman "a mess" and suggested the Brazilian should be asked to give up his membership.
"We need some more teeth in this because we are taking hit after hit in the eyes of the world and we're not seen to be doing anything," Pound told The Associated Press.
"In fact, we probably aren't doing much other than waiting to see if somebody else tells us that one of our member is offside -- or several members are offside."
The IOC has said it was waiting to be "fully informed" before it acts on Nuzman.
"The IOC is very committed to the integrity of our organization," IOC President Thomas Bach said.
"This is why we are taking this seriously and we are watching it closely.
"The IOC will take all appropriate measures and sanctions where evidence is provided."
Nuzman was detained by police on Tuesday in Rio de Janeiro.
French and Brazilian authorities say he was a central figure in channelling $2 million to Lamine Diack through a Caribbean account held by his son, Papa Massata Diack.
The elder Diack is a former IOC member from Senegal who was a force in the IOC African bloc.
The widening case has also implicated four-time Olympic medallist Frank Fredericks, who has denied wrongdoing.
The Olympics medallist from Namibia has said a $300,000 payment he received from Diack's son on the day Rio won the vote was for legitimate consultancy work.
Pound said many of the problems with the Rio Games "were not solved by him (Nuzman), but created by him."
Michael Payne, the former IOC head of marketing, told the AP that "few are very surprised" about Nuzman's detention.
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