The government has said every effort is being made to help save a Falklands warship from the scrapyard and bring it back to its home port.
HMS Plymouth was built at Devonport Dockyard
It was responding to an online petition on the Downing Street website signed by 2,203 people who want HMS Plymouth to be returned to her namesake city.
The anti-submarine frigate survived several direct hits in the conflict.
The government said negotiations were continuing to find a suitable berth in the city as a memorial.
It added it would continue to monitor developments, but cautioned it was not government policy to provide direct financial support for the preservation of historic ships.
Since the offer of a berth at Millbay Docks was withdrawn in January, the HMS Plymouth Association has been working to find another berth.
The campaign has been supported by several senior navy officers who say the ship, which was built at Devonport Dockyard and launched in 1959, should be kept in the public eye in recognition of her 30 years of service.
The Type-12 Rothesay class anti-submarine frigate survived several direct hits from Argentine aircraft.
She was decommissioned in 1988 and is currently moored at Birkenhead on Merseyside.