Tory MP Andrew Bridgen has told GB News that he will be standing for the executive role of the 1922 Committee in a bid to change the current no confidence vote rules.
Mr Johnson survived a confidence vote held by Conservative MPs earlier this month by 211 votes to 148.
But pressure continues to be piled on the PM, not least after the Tories lost two crunch by-elections today.
In Tiverton and Honiton the Liberal Democrats overturned a 24,000 Tory majority to win, while Labour reclaimed Wakefield.
Tom Harwood and Andrew Bridgen
GB News
Prime Minister Boris Johnson is under mounting pressure
Joe Giddens
Under current 1922 Committee rules, Mr Johnson cannot face another vote of no confidence for another 12 months.
But when asked on GB News’ The Briefing "at what point does this all come to a head" Mr Bridgen said he was hoping to change the current rules.
He said: “Nominations for membership of the 1922 Committee open next week, I think the vote will be the week after.
“And I’m going to put my hat in the ring on a manifesto of rule change and clearly if a majority of the Committee are elected on that mindset then the rules can be changed.
“I think if the Committee is of such a composition that would indicate then the party is ready for another vote of no confidence again.”
GB News presenter Tom Harwood then asked: “Are you the only one putting yourself forward on an explicit manifesto of rule change?”
Mr Bridgen replied: “I think all the candidates who will put their name forward next week for the Committee, I have no doubt that the major question will be are you in favour or against rule change.”
It comes after Oliver Dowden resigned as chairman of the Conservative Party, saying in a letter to Mr Johnson that “someone must take responsibility”.
“Yesterday’s Parliamentary by-elections are the latest in a run of very poor result for our party,” Mr Dowden wrote in a letter to the Prime Minister.
“Our supporters are distressed and disappointed by recent events, and I share their feelings.
“We cannot carry on with business as usual. Somebody must take responsibility and I have concluded that, in these circumstances, it would not be right for me to remain in office.”