A proposal to move buildings could save Fenland District Council £100,000 a year and protect frontline services.
Fenland Hall could be put on the market with district council officers moving into nearby Hereward Hall, if councillors give the green light next year.
Officers are currently putting together a business case of whether to stay in the current building or move after Cambridgeshire County Council has offered to sell Hereward Hall.
Over the last four years, the council has lost 40 per cent of its funding and is expecting to have to find a further £1 million worth of savings next year.
Council leader John Clark said members will be given all the information to make an informed choice during a full council meeting next year.
At a press conference on Wednesday he said: “If there are savings to be made by re-locating then it saves us looking at budgets elsewhere.
“If the figures don’t add up then we won’t be moving. It is just an option which has been presented to us.”
Fenland Hall is 60 per cent occupied and as an older building is expensive to run with two commercially-sized boilers.
Hereward Hall, which is 10 years old, is smaller and will need some alterations, including the possible building of a council chamber. It is run on two domestic-sized boilers and has solar panel heating.
The council has approximately 200 people based at Fenland Hall while Hereward has 184 work stations.
Among the options being considered is finding a partner to share Fenland Hall with the council.
A report of the business case will be made to the overview and scrutiny committee before full council.
The council says it is too early to say if there is interest in buying Fenland Hall.