Tabloid newspaperThe Sunalleged that the unnamed star appeared in a video call with a teenager in his underwear.
The Sunis basing its reporting on allegations made by the teenagers mother.
She has reportedly signed a sworn affidavit supporting her claims and has not requested payment for telling her story.
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No one involved in the story has been named.
I immediately recognized him, the mother toldThe Sun.
She said her child was using the money from the star to fund a drug habit.
The woman also claimed that she once overheard a phone conversation between the presenter and her child.
It was shocking, she said.
The broadcaster is under growing pressure to provide answers about its handling of the matter.
The mother of the teenager lodged a complaint with the BBC about the presenter on May 19.
He continued to host high-profile BBC output until recent days.
BBC Director General Tim Davie will face the press on Tuesday when the broadcaster publishes its annual report.
