Tokyo 2020 coordination commission chairman John Coates noted that significant progress had been made since the IOC ordered local organisers to keep costs below $20 billion but added that more needed to be done.
"Apart from the fact you've got the budget down now to around $13 billion, the emphasis that you are continuing to work together to further reduce costs and optimise resources is not only important to you and taxpayers, but also very important to the IOC," he said at the start of a three-day visit to Tokyo.
"But it is important to us that when the costs of the Games in the final analysis become public that they're going to attract (future) candidate cities, rather than scare them off."
The IOC pledged earlier this year to make changes to the Olympic bidding process following the withdrawal of Budapest from the race to host the 2024 Games, leaving just Paris and Los Angeles in the running.
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"If we appear to be pushing very hard on saving money, it's for our own future that we are doing it -- just as much as you want to do it for your taxpayers," Coates said.
Tokyo governor Yuriko Koike last year ordered a review of the budget that recommended revised plans for three venues to reduce costs projected to balloon to more than $25 billion -- four times the initial estimates when Tokyo won the 2020 hosting rights.
As Tokyo organisers battle to rein in costs, Coates added that a progress report on the troubled 2020 Olympic stadium would be high on the agenda during the coordination commission's visit.
Japanese officials bungled the rollout of the showpiece venue in 2015 when Prime Minister Shinzo Abe tore up the blueprints for Tokyo's new national stadium over its eye- watering $2 billion price tag.
"We want to finalise how many games in baseball and softball will be held in Fukushima," he said.
"We really want to honour the commitment that president (Thomas) Bach made to Prime Minister Abe to take events to Fukushima as part of the (region's) recovery and rehabilitation. I think it's critical we do that.