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.
Tens of millions to be invested in Devon's buses
Local leaders will decided how money is spent
Fawlty Towers: The Play - REVIEW
Chaotic tribute act to renowned series
Lib Dems hold Exmouth seat in by-election
Fran McElhone wins the Halsdon seat
Paignton YMCA moves into former Mormon chapel
Our new home is absolutely ideal'
Homes to be built on former Exeter driving range
More than 50 houses planned
Extra staff to improve adult response times
Two-day target only hit in one in every 10
