Max Mosley did not attend the Bahrain Grand Prix on Sunday
Max Mosley's future as FIA president will be decided by a vote of confidence at the organisation's extraordinary general assembly on 3 June.
His position has been under threat after the News of the World newspaper claimed that Mosley took part in a "Nazi-style orgy in a torture dungeon".
Mosley has denied any Nazi connotations and apologised for any embarrassment.
The secret ballot, which will take place in Paris, comes after Mosley himself asked for the meeting.
Mosley has come under intense pressure to resign, with several Formula One car manufacturers and national motorsport organisations expressing their disapproval of his conduct.
But Mosley, the son of former British Union of Fascists leader Oswald, has taken a defiant stand and is taking legal action over the claims.
A lot of members (of the FIA) are unhappy with the situation and feel he should reconsider his position
BBC sports news correspondent Adam Parsons
BBC sports news correspondent Adam Parsons believes Mosley has a difficult task to hold onto his job at the head of world motorsport.
"There is a great deal of concern in motorsport and the FIA - they are taking a battering over this," said Parsons.
"He isn't denying involvement in the orgy and the element of embarrassment involved but he is denying Nazi references.
"He also says that if he wins the court case, then he will donate the money to the FIA foundation.
"A lot of members (of the FIA) are unhappy with the situation and feel he should reconsider his position, while others feel that it is simply his private life.
"But unless he can convince the FIA that there was no Nazi element, it will be a very, very tough fight ahead for him."
An FIA statement read: "The FIA can confirm that the members of the senate have unanimously approved the proposal of the president of the FIA that further to the recent press coverage relating to his private life, an extraordinary general assembly should be convened."
The 67-year-old missed last week's Grand Prix in Bahrain after F1 supremo Bernie Ecclestone admitted the Bahraini royal family "would not like" his attendance in the Kingdom.
Mosley has been FIA president since 1993. His position is elected by the FIA membership of national automobile clubs and motorsport bodies and his latest four-year term does not expire until October 2009.