David Cameron has come under fire from another of the region's MPs.
Northampton South MP Brian Binley branded the Prime Minister a "chambermaid" for the Conservatives' coalition partners.
Mr Binley said what the Government actually needed was a major change of direction
In a post on his website, he wrote: "What the country, the Conservative party and the captain of the ship needs now is not so much a reshuffle as a rethink.
"Rearranging the deckchairs on the Titanic will do nothing to alter the impression that the ship has lost its way."
He said Mr Cameron needed to change his relationship with the Lib Dems and also build bridges with disaffected Conservatives.
He criticised Mr Cameron for agreeing to the "self-indulgent lunacy" of the Lib Dems.
"The country needs a full-time Prime Minister and not a chambermaid for a marginal, irrelevant pressure group who have got him in a virtual arm-lock with a constant stream of threats to abandon ship."
Mr Binley, treasurer of the 1922 Committee of backbench Tories, said the Prime Minister should repair the damage in his relationship with the party's grassroots.
Northampton South MP Mr Binley's intervention follows the criticism of Mr Cameron from senior Conservative Tim Yeo, who questioned the Prime Minister's political courage over the issue of a third runway at Heathrow.