St Helier's green spaces will be excluded from any potential future site list for Jersey's new hospital.
Constable Simon Crowcroft's amendment was approved in the States Assembly by 24-22.
It means that if Gloucester Street is removed as the chosen site, the new hospital will NOT be built on People's Park, Lower Park, Victoria Park, Westmount Gardens or Parade Gardens.
Politicians will now decide whether to rescind the previous government's decision to build the new hospital on the current site, after two attempts at planning permission were rejected.
Constable Crowcroft says People's Park should never have been in the running.
"I've never denied that it's (People's Park) the best site for the hospital, but it isn't available, because it's a park.
"There is no point in leaving these spaces on the table. Let's look at the other sites (if Deputy Russell Labey's proposition is approved) without distraction."
The Assembly has also backed Deputy Kirsten Morel's amendment to start any site selection process from scratch, if the Gloucester Street site is scrapped.

Plans to charge wealthiest patients for medical travel
Railway Walk reopens 'several weeks' ahead of schedule
New bar opening at former Rojo and X site to evolve Jersey's nightlife
Former Chief Minister seeks re-election
Château Vermont to become home to new music campus
St Saviour break and entry suspect pictured posing on motorbike
'Overstretched' neurology department following under-experienced managers
Channel Islanders asked to report injured or dead seabirds