BBC Three cookery contest Hungry For It will see 10 aspiring chefs testing their skills.
Police confirmed the assault, which is alleged to have been on a female BBC worker on the production, took place in London last September.
BBC Studios said it had “robust processes in place” for supporting staff or freelancers who may have been victims of crime.
In a statement, City of London Police said: “On Sunday 19 September 2021, City of London Police was contacted by another police force, which had received a late report of a rape that took place in September 2021.
“The evidence in the case is currently being reviewed and the female victim has been supported by specifically-trained officers.”
A BBC Studios statement said: “BBC Studios has robust processes in place to ensure that any of our staff or freelancers who may have been the victim of a crime are given all the appropriate support needed and that the matter is handled with the utmost seriousness and care.”
In Hungry For It, the amateur chefs will live together in a house while competing in challenges for industry experts and mentors.
Stacey Dooley fronts the show while chef and rapper Big Zuu and chef Kayla Greer are mentors and judges.