The Metropolitan Police said it is “actively” looking into media reports that Prince Andrew tried to obtain personal information about his accuser Virginia Giuffre through his police protection.
“We are aware of media reporting and are actively looking into the claims made,” the force said on Sunday.
It comes after Ms Giuffre’s brother called on King Charles III to strip Andrew of his “prince” title, following the announcement he would stop using his other titles.
Prince Andrew has not commented on the reports, but consistently denies all allegations against him. Buckingham Palace has been contacted for comment.
Ms Giuffre, who took her own life earlier this year, said she was among the girls and young women sexually exploited by convicted sex offender Jeffrey Epstein and his wealthy circle.
She also claimed that she was forced to have sex with Andrew on three occasions, including when she was 17.
According to the Mail on Sunday, Andrew asked his police protection officer to investigate her just before the newspaper published a photo of Ms Giuffre’s first meeting with the prince in February 2011.
The paper alleged that he gave the officer her date of birth and confidential social security number.
On Friday, Andrew announced that he was voluntarily handing back his titles and giving up membership of the Order of the Garter – the oldest and most senior order of chivalry in Britain.
He will also cease to be the Duke of York, a title received from his mother, the late Queen Elizabeth II.