The trial facility, in the car park of Graiseley Strengthening Families Hub, Pool Street, will offer people tests without the need for an appointment.
John Denley, Wolverhampton's Director of Public Health, said: "Ensuring residents and key workers can get tested for Covid-19 is a key part of our battle against coronavirus and we are pleased to be able to increase our testing capacity still further by opening this pop up test centre.
"The message is clear, if you have got symptoms of Covid-19 – a fever, a new, continuous cough, or a loss or change to your sense of smell or taste – or you or you feel you have put yourself at risk of exposure to Covid-19, you simply must get a test.
"You can do this by booking an appointment at GOV.UK or by calling 119 or, over the next few days, by visiting our temporary walk through service in Graiseley, for which you will not need an appointment."
The walk through centre is open today (Wednesday) from 11am to 4pm, tomorrow (Thursday) from 10am to 4pm, Friday from noon to 5pm and Saturday from 10am to 2pm.
The test is quick and free, and involves taking a swab of the inside of the nose and the back of the throat with a long cotton bud.
Anyone who tests positive for Covid-19 will be contacted by NHS Test and Trace and will be asked to share information about people that have been close contacts recently.
People can also use the Royal Wolverhampton NHS Trust's Ask A&E tool to input and monitor their symptoms and speak to a healthcare professional via video chat if required.
The latest information and guidance around coronavirus is available at GOV.UK and on the council’s own coronavirus pages at Coronavirus advice and information. There’s lots of advice on how people can protect themselves and their families from coronavirus from the NHS.
The council’s Stay Safe, Be Kind campaign offers clear and simple advice about how people can help themselves, and how they can support others who may be particularly vulnerable at this time. For more information, please visit Stay Safe, Be Kind.