Oxford City Council is running out of burial space in its graveyards.
Two of the city's four council-owned cemeteries, Headington and Rose Hill, are full and have been shut to new coffin burials for several years.
There is still space at Botley and Wolvercote cemeteries, but only for another 10 years, the council said.
It wants to spend £20,000 on environmental surveys of two or three potential sites to find space for burials for the next 100 years.
The last increase in burial space was in 1932 when Headington Cemetery was extended.
Councillors are set to discuss the proposal to investigate new sites on Wednesday.