The new testing centre at the Old Police Station, in Tudor Way, will offer rapid lateral flow tests for people who do not have Covid-19 symptoms.
The site will also act as a collection point for people who are looking to collect home testing kits.
Results are usually available within 30 minutes.
The testing site will be open from 1pm initially on Monday, and then 8am-5pm Mondays to Fridays.
No prior booking is required.
Everyone across Shropshire is now able to pick up free lateral flow tests home testing kits from sites across the county.
Rachel Robinson, Shropshire Council’s director of public health, said: “Testing of symptom-free people is really vital at the minute, as we continue our route out of the third lockdown.
“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.
“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 PCR test online or by calling 119.