Dehenna Davison is among Conservative MPs who have submitted a second no confidence letter in Prime Minister Boris Johnson.
Under the current rules of the 1922 Committee of backbench Conservatives, the Prime Minister cannot face another challenge within a year of his shaky victory last month.
But this could be torn up if the group’s executive go ahead with a proposed change to the rules as Mr Johnson’s authority evaporates with a series of ministerial resignations.
And Ms Davison is among Tories calling for this to happen, tweeting: "Enough is enough."
Dehenna Davison has said the country has got worse since her first vote of no confidence
UK Parliament/Jessica Taylor
The MP for Bishop Auckland wrote: "I wrote to you some months ago expressing my lack of confidence in the Prime Minister.
"In the time that has followed, nothing has improved - in fact further lies have been peddled, and more good colleagues have been sent out to defend the indefensible.
"Things have got worse and our country deserves better.
"For the sake of our great nation, and for the sake of our great Party, the Prime Minister must go.
"I write to ask for a vote of confidence as soon as possible to allow us to finally draw a line under this sorry saga."
MP for Poole Sir Robert Syms tweeted: “It is clearly time for the Prime Minister to accept he has lost the confidence of the Parliamentary Party and go with dignity.
“I have submitted a letter to Graham Brady MP calling for a change in rules and a ballot.”
