"The arguments the Conservative Party put forward in this election have lost, and we need to change", he said.
And with Mrs May's majority cut to 12 even with the DUP, she can not afford to alienate even a small handful of pro-EU backbenchers.
The Tories and the DUP might seem like natural bedfellows, even before the 2015 election the Ulster Unionists were also talked of in potential coalition terms. Her predecessor, David Cameron, first asked British voters to decide in 2016 whether to leave the EU.
Theresa May has pledged to work with "talent" from across the Conservative Party as she brought back former justice secretary Michael Gove in a shock return to the Government ranks.
"Clearly if she's got a worse result than two years ago and is nearly unable to form a government, then she, I doubt, will survive in the long term as Conservative Party leader", former Conservative Treasury chief George Osborne said on ITV.
"And move to a consensus within the country about what it means and what we seek to achieve as we leave".
Some youths may also have taken revenge on their parents and grandparents for supporting Brexit - support for leaving the European Union was much higher among older generations in the referendum a year ago on whether Britain should leave the EU. May's leadership, said the pair had "taken the fall" for the prime minister. He told the Sunday Mirror: "This is still on".
Former finance minister George Osborne, who May sacked after taking office following the Brexit vote last June, said she was now a "dead woman walking".
Many predicted May would soon be gone.
Still, May's status remains shaky, at best, after the Conservatives' principal rival, the Labour Party, pulled off a dramatically positive showing at the ballot box Thursday. EU's chief negotiator Michel Barnier indicated Brexit talks now may be delayed from the date set for its start.
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Anti-Brexit Conservative veterans outside the Commons today joined the calls for Mrs May to compromise on Brexit. "They were outdated. Brexit negotiations will suffer with a Conservative government", French said.
"I think after Brexit I was so angry with what I saw as the older generation selling us out".
Labour gained a total of 30 extra parliamentary seats after the vote, with Corbyn's own role dramatically strengthened by the results. "The whole thing will just fall apart".
"I think its quite possible there'll be an election later this year or early next year, and that might be a good thing, because we can not go on with a period of great instability", he told the BBC's Andrew Marr on Sunday.
"It is also important that we don't lose the co-operation between our intelligence services, between our police forces, the security co-operation we have with Europe".
Students and staff at the institution, which bills itself as "the U.K.'s European university" because of its diverse population, also were anxious about how May was going to lead Britain out of the European Union, he added.
May wanted to win explicit backing for her stance on Brexit, which involves leaving the EU's single market and imposing restrictions on immigration while trying to negotiate free trade deal with the bloc. May's position is now purely temporary, with the Conservative party expected to appoint a new leader who will ultimately serve as the country's prime minister.
However, it may be possible to negotiate access to the single market with a trade deal which does not involve signing up to European Union laws as we do now.
The sides have until June 29 to secure a deal, but observers fear any concessions to the DUP by May's Conservatives could complicate the talks, deepening the region's political crisis.
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