On Thursday, the 10 candidates who entered the leadership race got cut to 7 following the first Tory Party Ballot.
His nearest rival, Foreign Secretary Jeremy Hunt, got 43 votes. "What would Churchill say if someone who wants to be prime minister of the United Kingdom is hiding away from the media?"
Health Minister Matt Hancock quit the battle to succeed Mrs May as Conservative Party leader, saying the party was looking for a candidate for the present not the future, leaving six contenders, among whom Mr Johnson is the overwhelming favourite.
Foreign Secretary Mr Hunt accused Mr Johnson of hiding from the media and preventing a wider debate in the party.More news: Johnson Could Delay Brexit 'by a Few Weeks' if Elected Prime Minister
Meanwhile, frontrunner Boris Johnson says he will appear in a BBC TV debate next Tuesday.
Mr Johnson was initially silent on whether he would take part in televised debates, the first of which is set for tomorrow, leading to accusations that he is avoiding hard questions, in case any slip-up proves costly.
"In the meantime, it's absolutely crucial to prepare for no-deal and I don't share the deep pessimism of some people about the consequences of no-deal", he said.
In his first broadcast interview since the campaign started, Johnson gave an unequivocal pledge that Brexit would happen by the latest Brexit deadline of October 31 and Britain had to prepare for a no-deal exit, which he said would not be a disaster.
"I think it's still very open and no candidate can take things for granted - and shouldn't".More news: Throwback: High-voltage Pakistan vs India clashes to remember
Mr Raab, who needs to add to his first round tally of 27 votes if he is to continue after the second round, also contrasted his background as a grammar school boy and the son of a refugee with ex-public school rivals like the Old Etonian Mr Johnson.
"I'll be talking to all the other candidates, and see how best we can promote those values [I care about]". But he won only 20 votes in the first round of the election, while Javid won just 23 votes.
The victor will be announced in the week beginning July 22 and then take over from Theresa May as prime minister. So it's going to boil down to how numerous 30 extra votes Boris Johnson can take on Tuesday.
On the televised debates, he said it was "important that we have a sensible grown-up debate".
Tory leadership front-runner Boris Johnson has claimed that he can achieve an "orderly, managed Brexit" by October by simply ditching the controversial aspects of Theresa May's Withdrawal Agreement.More news: Hong Kong protests planned as groups slam police