Moscow said the move was a threat and warned it was ready to respond.
Last week the government said it was prepared for the possibility that Russia might cut off its gas supply in late May as a response to Finland's refusal to abide by Russian demands for payment in roubles.
Finland is also connected to the European gas network via the BalticConnector, a Finnish-Estonian pipeline that connects Finland with the Baltics which historically relied heavily on Russian gas but have diversified their supply using liquefied natural gas (LNG) import terminals and better connections with western Europe.
(Reporting by Anne Kauranen; editing by Gwladys Fouche and Jason Neely)