Blair: It's a different Labour Party
Tony Blair says he is "not sure it is possible" for Labour "moderates" to take the party back from the left.
The former Labour leader told the BBC's Nick Robinson Labour had been through a "profound change" under Jeremy Corbyn.
"It is a different type of Labour Party. Can it be taken back? I don't know," he said.
He said the British people would never elect Mr Corbyn prime minister and hinted at the emergence of a new "progressive, moderate" party.
Speaking on Nick Robinson's Political Thinking Podcast, Mr Blair said: "I don't think the British people will tolerate a situation where, for example, the choice at the next election is Boris Johnson versus Jeremy Corbyn.
"I don't know what will happen and I don't know how it will happen.
"But I just don't believe people will find that, in the country as a whole, an acceptable choice. Something will fill that vacuum."
He said there was a large constituency of voters who backed "socially liberal, progressive" politics but also believed in "a strong private enterprise sector alongside a state that is capable of helping people".
Mr Blair's name has been linked with the formation of a new "centre ground" party, although he has never publicly backed the idea.
And the former prime minister told Nick Robinson he was not as pessimistic as some of the people around him about the chances of his wing of the party regaining control of Labour.
"There [are] lots of people associated with me who feel that the Labour Party is lost, that the game's over," he said.
"I am hoping they are not right."
But he said the anti-Semitism row that had engulfed the party was "bad because it has been, in the end, something that I just can't imagine ever having happened in the Labour Party that I joined".
"I can't imagine that we have had three to four months debating over something where we have profoundly insulted the Jewish community in our country," Mr Blair said.
He said the current Labour leadership came from a left-wing tradition opposed to Western foreign policy. Those belonging to that tradition had always been "on the margins" of the party or in a different party, such as the Communists or "Trotskyist groups", he also said.
And he rejected comparisons to the early 1980s, when left-winger Michael Foot, who was against EU membership and nuclear weapons and in favour of nationalising industry, was Labour leader.
He said Mr Foot was not as left wing as Mr Corbyn and had tried to expel members of the left-wing Militant Tendency from the party.
Mr Blair is a persistent critic of Mr Corbyn's leadership and warned in 2015 the Labour Party risked "annihilation" if he became leader.
Last year he told the BBC he accepted it was "possible" that Mr Corbyn could become prime minister, in the wake of the 2017 snap election in which Labour defied predictions of a heavy defeat and stripped the Conservatives of their majority.
Under Mr Corbyn's leadership, party membership has swelled from 388,000 at the end of 2015, to a reported 540,000 as of April 2018.
The BBC's deputy political editor Norman Smith said Mr Blair's warning that it may not be possible to take back control of the party was "likely to compound the sense of gloom among Labour MPs".
"Such criticism is certain to infuriate some Corbyn supportersothers may even welcome Mr Blair's remarks as evidence that Mr Corbyn does indeed lead a very different Labour Party," he also said.