The testing unit has opened at South Staffordshire District Council building, off Wolverhampton Road, in Codsall.
It opened on Wednesday, and was testing residents on Thursday and today, between 9am and 4pm.
It will also be open Monday, October 12, to Friday, October 16, between 9am and 4pm.
South Staffordshire Council is urging residents to only book an appointment if they have symptoms of coronavirus – a new continuous cough, a high temperature, or a loss or change in sense of taste and smell.
It comes amid concerns coronavirus cases are rising in South Staffordshire. The council say since September 1, around 200 people have tested positive for the virus and cases continue to rise.
Dr Johnny McMahon, Staffordshire County Council's cabinet member for health, care and wellbeing, said: "Cases in South Staffordshire are rising and unless people act now there is a risk of Government stepping in with additional restrictions.
"If Covid-19 cases continue to rise, there is a huge increased risk to people's health and livelihoods. By working together, we have a great opportunity not to let the situation get out of control."
Rita Heseltine, assistant cabinet member regulatory services at South Staffordshire District Council, added: "South Staffordshire is known for its fantastic community spirit and I have no doubt that people here will rise to this challenge and do everything they can to protect ther family, friends and neighbours.
"By really pulling together and following the rules, we have the chance to turn this situation around and help protect the people we all care about."
To book a test, visit www.gov.uk/get-coronavirus-test.