However, the Scottish Tory leader, Ruth Davidson, called for "serious people" to take charge of Brexit process.
Boris Johnson is members' favored successor to May, with 23 percent choosing the foreign secretary as their preferred Tory leader and 69 percent saying he is now doing a good job.
This is in turn putting pressure on the United Kingdom to enter into various socio-economic concessions as the stalled talks crawl to a halt, hence May's undeclared reversal from a "hard" Brexit to a "soft" one.
"But overall it's important because it does see more people helped into the work place".
In her speech in the Italian city of Florence on September 22 May outlined a transition period of around two years of trading on the same terms, but no payments for single market access.
But, in an interview with the Sun on the eve of the Tories' annual conference in Manchester, Mr Johnson made it clear he would accept no further compromises on the issue.
Speaking to The Times, she said that Brexit should be managed by "serious people" and that being overly optimistic about the process "sells people short" - although she denied she was talking about Mr Johnson. There can be no monkeying around. The only surefire thing mentioned in her speech is that the Brexit will happen on March 2019, but the proposed two-year transitional period afterwards displeased her supporters who thought that it was too long while simultaneously upsetting her critics who thought that it wasn't long enough. The transition should be two years and "not a second more", he said.
Earlier this month Johnson ruffled feathers among his ministerial counterparts by setting out his "vision" in the Daily Telegraph.
Last night Mr Johnson also set down a series of other conditions for the talks with Brussels that threaten to box in Mrs May.
And he said the United Kingdom must padlock itself to the single market after it finally leaves and must refuse to accept any demands for payment in return for access to the single market.
"And you know what, you talk about Boris's job, you talk about my job, I think the people watching this programme are actually interested in what we are going to do about their jobs and their futures, and their children's futures".
He added: 'There is no point in coming out of the European Union and then remaining in rotational orbit around it.