BANGKOK — A Belarusian escort with close ties to a powerful Russian oligarch said from behind bars in Bangkok on Monday that she had more than 16 hours of audio recordings that could help shed light on Russian meddling in United States elections.

The escort, Anastasia Vashukevich, said she would hand over the recordings if the United States granted her asylum. She faces criminal charges and deportation to Belarus after coming under suspicion of working in Thailand without a visa at a sex-training seminar in the city of Pattaya.

Ms. Vashukevich, who described herself as close to the Russian aluminum tycoon Oleg V. Deripaska, said that audio recordings she made in August 2016 included discussions he had about the United States presidential election with people she declined to identify.

Mr. Deripaska, a billionaire with close ties to Russia’s president, Vladimir V. Putin, also has business ties to Paul J. Manafort, President Trump’s former campaign chairman. Mr. Manafort is under investigation by Robert S. Mueller III, the special counsel looking into the campaign’s connections to Russia.