The sites will be launched at Haling Dene Centre, in Penkridge, and St John’s Church Community Church, in Burntwood, from 2pm to 4.30pm.
Staffordshire County Council says the sites are for people without symptoms.
Anyone wishing to attend is asked to book a place online at zipporah.co.uk.
A council spokesman said: "With one in three people who have Covid showing no symptoms, we are encouraging everyone who needs to be out and about next week to get tested.
People, without symptoms only, should book online in advance."