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.
Car parking fees to go up on Dartmoor
There will be a 20p increase for 24 hours.
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'
