The BBC is understood to be continuing with its Race Across the World spin-off show despite presenter Scott Mills' recent axe.
It was confirmed on Monday that BBC Radio 2 host Mr Mills, 53, had been removed by the broadcaster.
Shortly after the announcement, The Mirror reported that Mr Mills was questioned as part of a 2016 Metropolitan Police investigation into allegations of serious sexual offences involving a teenage boy under 16.
The Met Police confirmed the alleged offences, which are understood to have taken place between 1997 and 2000.
Scott Mills was dismissed by the BBC | PAMr Mills was interviewed under caution by officers in July 2018, but the Crown Prosecution Service determined there was insufficient evidence to bring charges, and the case was closed in May 2019.
Concerns quickly arose about the new Race Across the World programme, particularly as other shows have been thrown into chaos in light of the news, including BBC soap EastEnders.
However, Deadline reports that the spin-off, which will be similar in nature to The Apprentice: You're Fired and Traitors: Uncloaked, will continue as planned without Mr Mills.
The publication went on to say Mr Mills' replacement will be revealed in a BBC announcement in due course.
Scott Mills was axed over allegations against his personal conduct, the BBC said on Monday | BBCRace Across the World: The Detour, was only announced two weeks ago.
On Wednesday, the BBC released a fresh statement on Mr Mills' axe, with a spokesperson saying: "Scott Mills had a long career across the BBC, he was hugely popular and we know the news this week has come as a shock and surprise to many.
"We also recognise there’s been much speculation in the media and online since Monday. We hope people understand that there is a limit to what we can say because we have to be mindful of the rights of those involved.
"What we can confirm is that in recent weeks, we obtained new information relating to Scott and we spoke directly with him.
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The BBC confirmed new information about Scott Mills had come to light | GETTY"As a result, the BBC acted decisively in line with our culture and values and terminated his contracts on Friday, 27 March.
"The BBC has made a significant commitment to improve its culture, processes and standards.
"Last year, following an independent culture review, we set out the behavioural expectations for everyone who works with or for the BBC and we were clear action would be taken if these were not met.
"Separately, we can confirm the BBC was made aware in 2017 of the existence of an ongoing police investigation, which was subsequently closed in 2019 with no arrest or charge being made."
Mr Mills had been at the BBC since 1998 | GETTYThe statement ended: "We are doing more work to understand the detail of what was known by the BBC at this time."
Mr Mills' co-presenter Tina Daheley broke her silence on the matter on Wednesday by sharing a post on Instagram that read: "Good morning! Just about recovered from this awful cold/flu I've had for the past week (being parent to primary school aged child is like having a subscription service to viruses!).
Ms Daheley went on to acknowledge the headlines surrounding the programme, adding: "Good news is I'm over the worst of it and looking forward to spending 2 weeks with my family over the Easter hols from tomorrow after what's been an incredibly difficult past week." (sic)
She is the first of Mr Mills' Breakfast Show colleagues to address the situation publicly.