The BBC has been urged to act “very swiftly” to deal with the claims centring on an unnamed presenter alleged to have paid a teenager for sexually explicit images.
Government minister Victoria Atkins described the claims reported by the Sun as “very, very serious” as questions over the broadcaster’s handling of the situation were raised.
The newspaper said the star paid the person, said to have been 17 when the payments began, £35,000 in exchange for the images.
In the latest claim, the young person’s mother said she saw a picture of the presenter on her child’s phone “sitting on a sofa in his house in his underwear”.
The mother said she was told it was “a picture from some kind of video call” and looked like he was “getting ready for my child to perform for him”.
The family were said to have complained to the BBC on May 19 but became frustrated that the star remained on air. He is understood not to be due on air in the near future.
Ms Atkins, the Financial Secretary to the Treasury, told Sky’s Sophy Ridge on Sunday: “These are very, very serious allegations and the BBC have said they have processes in place.
“But as public attention and concern grows the BBC is going to have to act very swiftly to deal with these allegations and to set out what they are doing to investigate them.”
Shadow chancellor Rachel Reeves urged the broadcasters to “speed up their processes” in investigating such allegations.
The Labour MP told the BBC’s Sunday with Laura Kuenssberg: “I do feel that I often come on this programme and we do start with another crisis at the BBC.
“The BBC do need to speed up their processes, it looks like these issues were raised in May, we’re now in July and the presenter stayed on air.
“That’s not good enough so the BBC need to get their house in order and give greater clarity to what on earth has gone on in this case and what they are trying to do to put it right.”
Former home secretary Priti Patel said the BBC’s response has been “derisory”.
“They must provide the victim and his family a full and transparent investigation,” she said.
“The BBC which is funded by licence fee payers has become a faceless and unaccountable organisation.”
A number of BBC stars publicly said they were not the presenter at the centre of the allegations, amid heavy speculation about their identity on social media.
A BBC spokesperson said: “We treat any allegations very seriously and we have processes in place to proactively deal with them.
“As part of that, if we receive information that requires further investigation or examination we will take steps to do this. That includes actively attempting to speak to those who have contacted us in order to seek further detail and understanding of the situation.
“If we get no reply to our attempts or receive no further contact that can limit our ability to progress things but it does not mean our enquiries stop.
“If, at any point, new information comes to light or is provided – including via newspapers – this will be acted upon appropriately, in line with internal processes.”