Michelle Mone, the Conservative peer and bra magnate, is being investigated by police over accusations she sent a racist WhatsApp message in 2019.
The Metropolitan Police have asked that she attend a police station for an interview under caution.
The force are delving into a formal complaint from an Indian man. It is alleged Lady Mone told a man of Indian heritage that he was 'a waste of a white man's skin.'
Baroness Mone (centre) ahead of the State Opening of Parliament by Queen Elizabeth II, in the House of Lords at the Palace of Westminster in London.
Stefan Rousseau
According to The Sun, Lady Mone, who has not been arrested, failed attend a formal meeting with the police after deciding not to attend close to the arranged meeting time.
The Tory peer, who made her millions with her bra brand Ultimo, requested that the meeting take place at an alternative date, which is understood to be soon.
A Met Police spokesman told GB News: 'Police spoke to the complainant and advised that for the investigation to progress a statement would need to be taken; for this to be admissible in any future court proceedings, this would need to be done in person.
'In October, the complainant gave a statement to police and the investigation continues.
Baroness Mone speaking in the House of Lords, London.
PA
'A 50-year-old woman has been invited to attend for an interview under caution at a future date.'
Lady Mone was appointed to the House of Lords in 2015 by David Cameron.
News of the claims against the Tory peer surfaced following reports that a man had lodged a complaint to the House of Lords Commissioner for Standards.
Officers from the Lords Commissioner for Standards said they could not investigate because the alleged incident did not take place whilst Lady Mone was undertaking her duties as a parliamentarian.
A statement from a representative of Lady Mone said: 'Baroness Mone is 100 per cent not a racist. Baroness Mone and her husband have built over 15 schools in Africa in the past three years.'
According to her lawyers, Lady Mone had 'no access' to the alleged WhatsApp messages and has no 'detailed memory of them.'
They went on: 'She is not prepared to comment on the messages unless and until their authenticity has been confirmed.
'But Baroness Mone, in any event, very strongly denies that she is a racist, a sexist or that she has a lack of respect for those persons genuinely suffering with mental health difficulties.'