The centre in Sidwell Street s the subject of a review which also includes out-of hours services and minor injuries units.
Campaigners are preparing to present a petition to the local Clinical Commissioning Group next week.
There's a proposal for Exeter to have one or more urgent care centres providing these services, and various organisations are bidding for the contract.
Body found in Bideford fire investigation
Three teenagers currently on bail
Royal Clarence Hotel redevelopment to start
Work to start on historic city centre building
Road closures for Tar Barrels event
Organisers list road closures and residents-only access.
More redundancies at Devon shipbuilder
Redundancies could include managerial roles.
Devon's fire service change alarm response
Changes could save hundreds of thousands of pounds.
Exeter woman averts disaster at Greek airport
Exeter woman hailed 'a hero'.
