Conservative leadership hopefuls Rory Stewart and Sajid Javid have said they believe they have the support to survive the next round of voting.
Tory MPs will vote again on Tuesday, with any candidate that falls short of 33 votes knocked out.
Mr Stewart secured just 19 votes in the first ballot, while Mr Javid gathered 23.
However, Mr Stewart says he can make it through if MPs “do what they say”.
He’s targeted frontrunner Boris Johnson, who chose not to take part in the first televised leadership debate, and today avoided a hustings event for political journalists.
“Who is going to be nimble enough, who has the style, who has the approach, who has the way of dealing with the public,” he said.
“I don't think the answer is going to be pre-scripted answers.”
Mr Javid was “extremely confident” he could move through to the third round of voting.
“I think there is a growing feeling in the party that when we get to the final two we should have a robust debate between two credible change candidates,” he said.
“If we don't get change, people will vote for change in the form of Jeremy Corbyn.”
Dominic Raab will need to boost his support from the first round to stay in the race, after attracting 27 votes.
He has also been critical of Mr Johnson for his limited public appearances.
Mr Raab said the hustings event with journalists was an “essential gauntlet” to be run, and he was “quietly confident” he will get the required votes to continue.