A public consultation, known as a Community Governance Review, is currently being conducted by Eastleigh Borough Council.
If approved, one or more new parish or town councils could be created in Eastleigh's town centre, the last 'unparished' area in the borough.
The change would give residents a greater say in how the budget for local services, such as the maintenance of open spaces and play areas, and the management of community buildings and cemeteries, is spent.
Householders in Eastleigh town centre and surrounding neighbourhoods are now being urged to take part in an online survey on the proposal.
The Leader of Eastleigh Borough Council, Councillor Keith House, said: “With the threat of much larger ‘unitary councils’ being created, covering a far greater area than existing borough councils and over half a million people, it’s important we keep local decision-making to give residents effective and accountable local representation.