It is the latest food manufacturer to have been hit by the virus.
Earlier this week, it was revealed that a manager at Greencore’s Northampton site had tested positive for Coronavirus.
Last month, Nestlé moved to reassure workers after a worker at its chocolate factory in Halifax tested positive for the virus.
And fresh prepared food supplier Bakkavor said it was reviewing capacity in response to the Coronavirus crisis.
2 Sisters said it was aware of a small number of cases at the factory across different departments.
"The health, safety and wellbeing of all our colleagues as key workers during this time of crisis is of paramount importance to us.Social distancing and enhanced hygiene protocols have been in place for some time,” a spokesman for 2 Sisters said.
"We are aware of a small number of positive Covid-19 test results from our colleagues at our Willand site across different departments. We have contact traced all other colleagues and as you’d expect, robust deep cleaning and disinfecting is being carried out on a daily basis throughout the site."
Last month, 2 Sisters revealed it has introduced a new range of measures across all its sites. These included workers visors, Perspex barriers and adjusted work patterns.
At the end of March, 2 Sisters launched a recruitment campaign at multiple sites after “unprecedented levels of demand for food”.
It was offering roles at sites across the country – including Scunthorpe, Lincolnshire and Cullompton, Devon – in packaging, dispatch and preparation.