Campaigners fighting the closure of a hospice's day centre which only reopened in February have launched a petition to present to Downing Street.
Dwindling numbers of day care patients and a lack of financial support means the unit at the Cynthia Spencer Hospice in Northampton is under threat.
At a meeting of Northampton Borough Council, councillors backed calls by one of the members condemning cuts.
The hospice provides palliative care for terminally-ill patients.
Daventry and South Northants Primary Care Trust's director of nursing Sue Buckingham said its closure would not affect the hospice itself.
Conservative councillor Ms Eldred said: "I am delighted that the council unanimously backed our campaign.
"The hospice and day care centre has played an important part in many people's lives, not only in Northampton but across the county.
"We are launching a petition which we plan to hand in to the Government to encourage them to review the situation and support the day care centre."
The unit, named after the earl's grandmother, provides 20 beds for palliative care and admits about 400 patients every year - the majority from Northampton.
It was officially reopened by Earl Spencer in February after a £1m upgrade.