The first will open on Studley Gate car park, next to Swanpool Park, in Stourbridge, on Friday.
The site will be the third walk-through site offering testing for residents with coronavirus symptoms – a new and persistent cough, a high temperature or loss or change in taste and smell.
Other walk-through testing sites include Flood Street car park, in Dudley, and Jackson Street, in Lye. Temporary drive-in sites for symptom testing include the Waterfront at Brierley Hill and Himley Hall and Park.
The second new testing site will open in the sports hall at Dudley Leisure Centre on Tuesday and will offer lateral flow tests to people are symptom free. Access to the site will be via the sports hall doors, not the main leisure centre entrance. Lateral flow testing is also underway at 30 pharmacies across the borough and at Saltwells Education Centre.
Councillor Nicolas Barlow, Dudley Council's cabinet member for health and adult social care, said: "I am really pleased that we are expanding our testing capacity in the borough, both for people who are completely symptom free and those who are displaying symptoms.
"It is important we all do everything we can to stop this virus in its tracks and testing therefore remains crucial. Please get a test if you need one and follow the latest government guidelines at all times."
For more information on Dudley borough test sites visit www.dudley.gov.uk/coronavirustesting.