Senior Tories want the Prime Minister to solve the electoral conundrum that could see Scottish MPs returned to parliament even if separation is backed by banning all 59 constituencies north of the border from taking part.
The move would make a dramatic difference to the outcome of the election next year, wiping out a significant section of Labour's powerbase and a sizeable number of Liberal Democrats.
In May 2010 Labour won 41 seats, the Lib Dems 11, the SNP six while the Conservatives secured just one MP.
So far, there has been no decision on what would happen to Scotland's Westminster seats between parliamentary elections and March 2016, when it would become an independent nation, in the event of a yes vote this autumn.
It is widely assumed that elections would continue as usual but Scottish MPs would then vacate their seats when links are severed.
Tories believe it would unacceptable, however, for them to hold their seats while London and Edinburgh were negotiating the break-up of the UK
Scottish-born John Stevenson, who represents Carlisle, said: "Why should the peoples of Northern Ireland, Wales and England have laws passed in this House by MPs who for all intents and purposes are about to be part of a foreign country?"