The fashion retailer confirmed the news to the Adver and added it is taking the necessary measures.
A statement said: “We can confirm that a Primark employee in our Swindon store has tested positive for Covid-19.
“Nothing is more important than the safety and wellbeing of our customers and employees.
“We have detailed contingency plans in place in case one of our employees tests positive and in line with these, we have informed the public health authorities and we have conducted an additional precautionary sanitisation of the store.”
The Primark store is on Regent Street.