Michelin says it will not apply to become Formula 1's tyre supplier if the sport continues to use 13-inch wheels.
Formula 1's ruling body, the FIA, opened up the tyre tender contract for the sport from 2017 at the end of last month, inviting companies interested in applying for the 2017, 2018 and 2019 deal.
Current supplier Pirelli has already confirmed it has applied.
Tyre makers have until June 17 to lodge their applications.
While Pirelli said the wheel size was not crucial to its plans, Michelin says it is not interested in joining Formula 1 unless regulations change.
"Formula 1 is the opposite of our philosophy," Michelin's motorcycle racing director Nicolas Goubert told Gazzetta dello Sport.
"The 13-inch tyres are not used by any road cars and maybe should give the highest performance for only 10 laps. That's not what we want to show.
"I don't think Michelin will participate in the FIA tender, we prefer to be in MotoGP."