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.
14-year-old girl missing from Exeter
Lola Tinkler was last seen on Saturday
Man reattaches flags moments after removal
He scaled his ladder as council contractors used a cherry picker
Rocket builder careers in Cornwall to soar
Government boost to fill demand
'Twas the weather warning before Christmas
More heavy rain hits Devon
Police watchdog investigates after fatal Plymouth crash
Young biker dies
Torbay memorial bench prices top London's
MPs call for a review
