The testing facility will be at Raven House, 129 Cheshire Street, from Monday.
It will be open from 12pm initially on Monday, and then 8am-5pm daily onwards. No prior booking is required.
With around one in three people with Covid-19 having no symptoms, it is essential that those who have to go out to work are regularly tested with rapid lateral flow tests.
Shropshire Council is encouraging groups to attend one of the county’s rapid testing sites if they include households and support bubbles of school pupils and staff and those people who have to leave home to make an essential journey, such as shopping for essential items, and to attend medical appointments.
Rachel Robinson, Shropshire Council’s director of public health, said: “Even if you have no symptoms, you could still be spreading the virus – and a mild illness for you could be a life-threatening disease for someone else.
“By coming forward for a test, you’ll be helping us to track down the virus and stop it from being passed on. And if you test positive, it’s really important that you self-isolate for 10 days, and that your close contacts self-isolate too. That’s the only way we’ll be able to break the chain of transmission.”
People with symptoms of Covid-19 should not go to any of the rapid testing centres. Instead, they should stay at home and book a test online or by calling 119.