Johnson has repeatedly criticized May, calling the prime minister's Brexit plan "deranged", while Hunt caused a furore by comparing the EU to the Soviet Union, although he backtracked on the comments when speaking to CNBC on Tuesday.
She will say: "They want to support a party that is decent, moderate and patriotic".
In less than six months, on March 29 2019, the United Kingdom is set to leave the European Union and we still have no idea what will happen on March 30. That "If we stick together and hold our nerve I know we can get a deal that delivers for Britain"?
FRANK LANGFITT, BYLINE: Hey.
But then, everything came tumbling down: Her authority and government were severely weakened as she lost her Parliamentary majority.
LANGFITT: Yeah, which is not a typical Theresa May move. But as she emerged to the strains of her favourite song, Abba's Dancing Queen, she looked like she was having the time of her life.
She made a grab for traditionally Labour territory by saying that the NHS "embodies our principles as Conservatives" and boasting of the presence in the Tory front ranks of immigrant's son Sajid Javid, former Barnardo's girl Esther McVey and lesbian mother-to-be Ruth Davidson.
Mrs May and her team face weeks of hard conversations with Brussels to win a deal, but she also faces challenges from inside her own party and from her partners in parliament, Northern Ireland's Democratic Unionist Party.
And there are signs today that she is preparing to make further concessions to Brussels in a bid to unblock the Brexit talks. This is the way that she put it. MPs asked the British people to take this decision. But she said the deficit was nearly gone and we would soon start seeing the huge national debt being paid off. She's still facing a huge challenge from her Brexiteer backbenchers this autumn, and she may still be living on borrowed time. "Don't think many thought she had this in her". "Our best days lie ahead of us". I believe people at least need to do their homework.
INSKEEP:.Because we talk to you periodically? "Don't let anyone tell you we don't have what it takes", she said.
LANGFITT: Yeah. That comes up here as well.
"We've had many countries trying to lower corporate tax rate for the past decade, but one common theme across every Group of Seven country's expansion is that investment never goes up", he said. I found only one person who had shifted their opinion.
It clearly mocked May, who once said the naughtiest thing she had done was run through a field of wheat. Dismissing calls for a so-called "people's vote", the British PM said any second referendum over the issue of Brexit would be a "politicians' vote" as the people had already given their verdict in the 2016 referendum.
May defended her blueprint, which aims to keep Britain aligned with many European Union rules in return for remaining in the bloc's single market for goods.
Here are the main announcements from the Prime Minister following her speech on Wednesday. Brexit was actually the smallest part of this speech. An undeterred May called on her colleagues to work towards making the Conservatives a party "not for the few, not even for the many but for everyone who is willing to work hard and do their best". It's been a millstone around the neck of Conservatives.
She added: "What has befallen Labour is a national tragedy".
"This is why some people still feel that our economy isn't working for them". "Those of us who do respect the result, whichever side of the question we stood on two years ago, need to come together now". Their worst nightmare is being forced into a general election and losing to the Labour Party. They want a clean break.
LANGFITT: Happy to do it, Steve.
INSKEEP: Frank, thanks very much.