The new sites will be at Donnington Wood Bowling Club and the Legges Way car park in Madeley.
It means there will be five walk-in testing centres around the borough, in addition to the two drive-through sites in Ironbridge and Hollinswood.
Anyone with one of the three key coronavirus symptoms (a high temperature; a new, continuous cough; or a loss or change to your sense of smell or taste) can get a free swab test.
Tests at the site should be booked or ordered as soon as symptoms begin at nhs.uk/coronavirus or by calling 119.
Andy Burford, cabinet member for health and social care, said: “With so many sites across the borough it’s never been easier or quicker to get tested for coronavirus.
“You can book a test 24/7 and there are a number of slots available throughout the day.
“If you have one of the three key coronavirus symptoms, however mild, please self-isolate and book a test immediately – by doing this you are playing your part to prevent the spread of the virus in Telford and Wrekin."