The London Fire Brigade Museum in Southwark Bridge Road could move to Clerkenwell Fire Station, according to a fire authority paper published this week.
The museum, which had been threatened with closure, won a temporary reprieve last year while future options are considered.
The museum occupies space at Southwark fire station and in the adjacent Winchester House, former residence of Eyre Massey Shaw, the first chief officer of the Metropolitan Fire Brigade.
The London Fire Brigade wants to sell its Southwark training centre – including Winchester House – for redevelopment.
According to a briefing note for members of the London Fire & Emergency Planning Authority, the museum working group is "considering a potential relocation of the museum to Clerkenwell fire station".
Clerkenwell fire station at the corner of Farringdon Road and Rosebery Avenue is, like Southwark Fire Station, threatened with closure under plans drawn up by the London Fire Brigade commissioner Ron Dobson and backed by the Mayor of London.
Clerkenwell is thought to be the oldest purpose-built fire station in Europe.
The same document also reveals that the museum could be incorporated into the brigade's headquarters at the former parcels sorting office in Union Street.
The LFB has so much spare space at Union Street that it hopes to raise £750,000 a year by subletting an entire floor of the building.
• Next week the London Fire Brigade Museum is hosting a talk entitled A phoenix from the ashes: The Tooley Street fire and birth of a modern fire brigade.