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.
GWR to be nationalised by the end of the year
GBR instead of GWR
Torbay goes yellow and blue to support the Gulls
Seafront lights to shine in Torquay United's colours
Labour crumbles under the weight of Reform UK
Reform won 14 and Labour lost eight
Labour loses overall control of Exeter
Full results from city elections
Murder charge following death of Plymouth man
Mark Carpenter, 57, appearing in court
Exeter takeover by AFC Bournemouth owners approved
Investment group could own Chiefs
