UK's duty of care to staff is always a priority and our expectations regarding behaviour are made clear to both cast and crew on all productions, with multiple ways of raising concerns, including anonymously, clearly promoted on set.
"Whilst these are historical allegations, incidences brought to our attention where these expectations are not met, are thoroughly investigated and addressed appropriately.
"If anyone would like to talk to us or raise any issues or concerns, then they can contact speakupbanijayuk.com in confidence."
A BBC spokesman said: "We take any issues that are raised with us seriously and we have robust processes in place to deal with them.
"We are always clear that any behaviour which falls below the standards expected by the BBC will not be tolerated.
"Where an individual is contracted directly by an external production company we share any complaints or concerns with that company and we will always support them when addressing them."
Gregg, who also hosted shows such as Inside The Factory and Eat Well For Less, was awarded an MBE in 2022, for his services to food and charity.