Dogsthorpe Community Centre is taking walk-ins or online bookings for Tuesday, September 8 and Saturday, September 12.
Pyramid Community Centre, in Bretton, has appointments available for Thursday, September 10 and Sunday, September 13.
Gladstone Park Community Centre is doing testing on Sunday, September 13.
These mobile testing centres are open from 10am to 3pm. Anyone displaying Covid-19 symptoms can just turn up for a test on any of the dates, or can book online via the NHS website or by calling 119.
The East of England Showground is still operating a drive-thru testing facility, but appointments for that centre must be booked through the government website.
People should get tested if they have symptoms of a high temperature, a new, continuous cough or any change to or loss of their sense of smell or taste.