Foreign secretary Boris Johnson is among a number of high profile names who could lose his seat, if the proposed boundary changes go ahead.
The new map is expected to cut the total number of MPs by 50, with the Conservatives likely to lose up to 10 seats, while Labour stands to lose around 22 MPs.
London will see huge changes to the electoral map, with Johnson's Uxbridge and South Ruislip seat, which he has held since 2015, could be turned into a Labour marginal.
Cabinet colleagues Priti Patel and David Davis could be forced into tight re-selection battles against fellow Tories, while Jeremy Corbyn's North Islington constituency is to be abolished.
Liberal Democrat chief whip Alistair Carmichael said the review was "a dead duck".
He added: “The DUP will not wear this review. Nor will many Tory backbenchers. The government should stop wasting public funds and bow to the inevitable.
“But if by some miracle it does go through, the Liberal Democrats will fight and win seats on these boundaries, in considerably stronger numbers than we managed last time. We will be making representations in the final eight week consultation for retaining strong community ties just as we have done at every stage of the review.”
Cat Smith MP, Labour’s shadow minister for voter engagement and youth affairs, said Labour "stands ready" to support a boundary review but stressed it must be "in a way that benefits our democracy, not just the Conservative Party".
"It has been clear from the start that the Tories have only been interested in their own political advantage rather than what is in the best interests of the country," she said. “They need to drop their unfair, undemocratic plans, as well as ensuring the review is based on the most up-to-date register and that there is appropriate flexibility to take into account community ties and geography.”
SNP MP Tommy Sheppard added: "At a time when the whole country faces the huge threat of an extreme Tory Brexit, fiddling the boundaries of MP's constituencies is the last thing the UK government should be wasting its time on.
"The Tories must now scrap their completely unacceptable plans to slash Scotland’s representation at Westminster. The proposals to reduce the number of Scottish MPs by 10 per cent would significantly weaken Scotland's ability to hold the UK government to account, and defend our national interests.
"If the UK government is looking to reduce the cost of politics, the first priority must be abolishing the unelected, undemocratic House of Lords, which has zero accountability to voters despite having a ludicrously bloated chamber of over 800 taxpayer-funded peers."
The boundary review was put forward under David Cameron in order to “cut the cost of politics” and to create constituencies with more equal numbers of voters.