
A British tabloid reported Sunday that Mosley, son of British Union of Fascists founder Sir Oswald Mosley, engaged in sex acts with prostitutes that involved Nazi role-playing.
Ecclestone, who has come out in support of his friend Mosley and said he did not see a reason why he should resign as FIA president, late Monday told the Times newspaper that Mosley should not come to Bahrain.
"He shouldn't go, should he? The problem is he would take all the ink away from the race and put it on something which, honestly and truly, is nobody else's business anyway," Ecclestone is quoted as having said.
Ecclestone said that the Bahrain royal family would also not appreciate Mosley's presence at the race. "They wouldn't like it," Ecclestone said.
Earlier, the News of the World reported that Mosley, 67, paid five prostitutes 2,500 pounds in cash and then engaged in an orgy that lasted almost five hours.
The 67-year-old is alleged to be seen on a video that shows him screaming orders in German and lashing girls wearing concentration camp uniforms.
The man on the video - allegedly Mosley - is also seen to be whipped by the prostitutes before engaging in sexual acts. He then drank a cup of tea with them.
Mosley has instructed his lawyers to take legal action against the tabloid for breach of privacy.
Mosley's father, who had Adolf Hitler as guest of honour at his wedding, which was held in the Berlin home of Nazi propaganda chief Joseph Goebbels, died in 1980.
Mosley, who lives in Monaco, married his wife Jean in 1960. They have two children.
A FIA spokesman on Sunday said that the organisation would not comment on a personal matter.