Several cases were identified in Hadley and Leegomery last week, prompting a pop-up testing centre to be set up to carry out PCR tests in the area.
Initially it was just families with school age children that were being told to get tested. Now their extended families, friends and support bubbles are being encouraged to get a test, as well as everyone in the Hadley and Leegomery area - whether or not they have symptoms.
In a fresh update today, a Telford & Wrekin Council spokesman said: "Some cases of a mutation of the UK Covid-19 variant have been identified in a small cluster of cases in Hadley and Leegomery.
"Public Health England has advised that there is no evidence this causes more serious illness - however, we need your help in monitoring this variant and stop it spreading further.
"The following are now being asked to take a PCR Covid-19 test, even if they are not showing symptoms: Families with school aged children in Hadley and Leegomery, their extended families, friends, support bubbles and all other residents in Hadley and Leegomery.
To get a PCR test, go to Telford Cultural and Leisure Centre, 40 High Street, Hadley, TF1 5NG. It is open 11am to 6pm during weekdays. No appointments needed, just turn up.
Please be aware that queues may be possible so plan ahead. Or, book an appointment at other PCR testing sites across the borough.
When completing the booking form, in the section "Why are you getting tested?", please select the following option: "My local council or health protection team has asked me (or someone I live with) to get a test, even though I do not have symptoms."