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.
Conservatives' 16 year Devon leadership reign ends
They're now the third biggest party in the county
Labour loses all county council seats in Exeter
Reform and Greens sweep them aside
Devoncast – Plymouth recovers, Exeter includes and a jewel in the crown for Torquay
Plus - the Devon County Show
Reform take Exeter City Council seat
Labour hold the other city seat up for grabs
Devon therapy sheep found following appeal
Bertha is back home
Underspent grant could benefit Exeter Airport
The majority of a £230,000 grant rolled over
