Premier Foods has confirmed an outbreak among employees at its Mr Kipling Newcastle Road site in Stoke-on-Trent.
The affected employees at the bakery in Trent Vale, are currently self-isolating at home but the site remains operational.
The firm said it is believed the staff members, caught the virus in the community.
A number of colleagues who had close contacted with the infected workers, through car sharing, for example, are now also self-isolating at home as a precaution StokeonTrentLive reports.
The factory makes millions of Mr Kipling cakes each year which are distributed around the UK.
Stoke City Council said three of the affected workers are ‘socially linked’.
Four live in Newcastle-under-Lyme and two in Stoke-on-Trent.
A number of other workers who came into close contact with the infected employees, such as through car sharing, are also self-isolating at home.
A Premier Foods spokeswoman said: “The health and wellbeing of our colleagues is our absolute priority, and we have done everything we can throughout the pandemic to protect our teams.
“We have seen a very small number of colleagues test positive for Covid-19 at our Stoke factory, reflective of an increase in cases in the wider Stoke-on-Trent/Newcastle-under-Lyme area.
“As a result, we have introduced further protective measures on site, in addition to our already stringent hygiene and safety procedures.
“We have been in contact with our local health protection team and are confident that we have taken all the necessary steps to protect our teams.
“We are monitoring the situation closely and will continue to keep local authorities updated.”
Stoke-on-Trent City Council leader Abi Brown added: “We have been working closely with all the food manufacturing businesses in the city, including Premier Foods, throughout the pandemic.
“Our public health team has been impressed with the measures introduced by Premier Foods, both before and since this issue. It is actually thanks to their processes that this issue came to light so quickly.
“We have been able to see that these infections did not take place in the factory itself, but in the community.”
In recent weeks, there have been clusters of cases at a number of businesses in the UK, including food factories.
A Greggs depot in Bramley, near Leeds in West Yorkshire, was closed after around 20 staff were diagnosed.
Yesterday BirminghamLive revealed how S andwell has returned to the coronavirus ‘watchlist’ – after a number of outbreaks in workplaces and hospitality outlets.