Seven candidates are vying to succeed Bach in an election in March, with the German stepping down in June 2025 after 12 years in charge.
Athletes from Russia and Belarus were allowed to compete under a neutral flag at the 2024 Paris Olympics, having met strict criteria.
However, momentum appears to be gathering pace for Russia to be readmitted under its own flag.
One of the favourites for the IOC job, Juan Antonio Samaranch Jr, told AFP in September that Russia remained in violation of the Olympic Charter, but said "once the reasons for the suspension are removed, we will have to work very hard to get Russia back".
Mr Bidnyi, though, said that over two years into a war sparked by Russia's invasion of Ukraine, there should be no softening of the line.
"Our position is clear - sports cannot be a propaganda tool for an aggressor state," he said.
"There can be no return under the national flag of a country that continues to wage the largest war in Europe since World War II.
"If IOC presidential candidates want to be global sports leaders, they must embody the principles of justice."
Mr Bidnyi, 45, who has been in his post since November 2023, said the candidates should come to Ukraine to see the devastating impact of the conflict.
Denne historien er fra December 18, 2024-utgaven av The Straits Times.
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Denne historien er fra December 18, 2024-utgaven av The Straits Times.
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OLD ART, NEW LOOK, MURAKAMI STYLE
Japanese art history is seen in a new and fun light at Gagosian's Grosvenor Hill art gallery in London.
Hit children's animation Bluey will be on the silver screen
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Hollywood star Tom Cruise awarded US Navy's highest civilian honour
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Singer Elton John condemns legalisation of marijuana in the US and Canada
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Squid Game creator still can't believe show's global success
As they tease the much-anticipated second season of Squid Game, the cast and creator of the hit South Korean survivalist drama are still trying to wrap their heads around its global success, which saw its debut season in 2021 become the most-watched series on Netflix.
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