"If parliament rejected May's Chequers deal, named after the prime minister's country residence where she hashed out a plan with her ministers, the party would press for a general election", he repeated Labour's argument.
Delegates wave Palestinian flags in the main hall during a debate on Palestine in the Exhibition Centre Liverpool, during day three of the annual Labour Party conference in Liverpool, England.
"I've always said no deal is better than a bad deal, " May said.
Her position also effectively rules out alternative Brexit proposals put forward by rebel eurosceptic members of her own party, which are based on a wide-ranging free trade agreement similar to that agreed between the European Union and Canada.
The Labour party has pledged to "embark on the biggest home building programme in half a century", leader Jeremy Corbyn said yesterday.
Britain's opposition Labour leader Jeremy Corbyn will use a keynote conference speech Wednesday to present himself as the man to lead Britain but faces a daunting task uniting his rebellious MPs over the divisive Brexit question. It will be an early sign about whether he has any chance of making more headway on Brexit than the embattled Mrs May.
"The EU was a social democratic movement, and it was a good idea, but after the financial crash, it made a decision to bail out the banks at the expense of the people", Brexit supporter Les Thomas said at a protest against a second referendum.
"We need to be the party that cuts the cost of living and stop with stupid gimmicks about putting taxes on milkshakes and think that is what social justice is all about - it isn't".
The Labour leader called on the prime minister to ditch her Chequers blueprint for Britain's European exit in favour of a "sensible" deal that includes a customs union with the EU to prevent a hard border in Northern Ireland and protects workers' rights and environmental standards.
If not, one of options would be a second Brexit vote, he added.
He went on: "Let me also reach out to the Prime Minister, who is now doing the negotiating".
But it disappointed many party members, who had hoped for a firm commitment to a second vote on a final Brexit deal, including the option to remain in the EU.
"If the United Kingdom leaves the European Union in March 2019 with no agreement in place, United Kingdom and European Union licensed airlines would lose the automatic right to operate air services between the United Kingdom and the European Union without seeking advance permission", the government said.
Tory party chair Brandon Lewis said: "All he offers are failed ideas that didn't work in the past and would leave working families paying the price with higher taxes, more debt and more waste - just like last time".
More than 100 constituency parties tabled motions calling for a second referendum, and thousands of People's Vote supporters marched through Liverpool to intensify pressure on Mr Corbyn.
Her Conservative party's manifesto has pledged to reduce the corporate tax rate from 19 percent now to 17 percent by 2020.
But Mr Corbyn will say it is "essential" to change the system which has seen growing inequality, job insecurity and in-work poverty over the past decade.
May would then need the support of nearly all of her MPs to get it through parliament, an unlikely scenario given her own party's divisions.