The International Automobile Federation president Max Mosley says he will decide in June whether to stand for re-election.
After becoming embroiled in a sado-masochistic sex scandal that triggered calls for his resignation, Mosley announced in April he would stand down when his term expires next October.
However the world motorsport chief, backed by success in a confidence vote, has since spoken of considerable pressure from members for him to stay in office.
He's told the official Formula One website he still has no plans to run for re-election but will make a decision in June.
Mosley says the difficulty is finding somebody who has the necessary experience, but also the time and inclination to do the job.
He's played a key role in forcing through cost-cutting measures in Formula One and says any candidate will need plenty of patience and an ability to understand quickly a great variety of technical and legal issues.