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.
Pothole damage claim for every seven miles of road
Nearly 1,200 claims against council
Earlier kick-off for Devon derby
Match will get underway at 12.30
Exeter Dryden Road consultation reopens
The deadline for responses has been extended
Devon teenager charged after Somerset stabbing
Man attacked on street
Two Plymouth towns set for major boost
Residents to call the shots
Could more Dartmoor car parks charge prices?
There are only a small number at present
