Asked whether he would want to join the Conservatives now the door was opening, Mr Farage suggested he might.
He told Newsnight: “Let’s see what happens. They [the Conservatives] are going to lose the next election. There will then be the most enormous battle for ideas.
“If it became a real Conservative Party, I might think about it.”
Business Secretary Jacob Rees-Mogg pronounced that Farage’s views “is broadly a Tory and always has been.”
He added: “I’m a friend of Nigel’s, I think he’s a very effective campaigner and I think most of his political views are views I share.”
Asked about Farage joinng the Tories, Mr Sunak told GB News: “I welcome lots of people who want to subscribe to our ideals, to our values.”
Pressed whether that would extend to Mr Farage, he said: “Look, the thing I care about is delivering for the country and the more people as we’ve seen at this conference – we’ve had record attendance I think at this conference. Lots of energy, lots of engagement.”
But the Prime Minister’s hint that he would welcome Farage was not backed by his chairman Greg Hands.
He said: “I think he’s most recently been advocating voting for another political party, that is not consistent with being a member of the Conservative Party.
“He’s repeatedly for the last 30 years or more advocated voting for other political parties. I think he’s said he doesn’t want to see the Conservative Party succeed.”