And it could become again the trigger for a new row over Britain's divorce from the European Union, with a move by the leadership to accept a motion for a second referendum failing to close the divisions that have long dogged the Labour Party.
Despite the shift in Labour party policy "there are still many obstacles in the way of a referendum" says John Rentoul in The Independent.
Corbyn's second-in-command, finance spokesman John McDonnell, was clear - the question should not involve a re-run of the 2016 referendum by including an option to remain in the EU.
Pro-EU activists were staging a rally and march in Liverpool as the annual conference got under way, in a bid to pile pressure on the leadership to back a so-called "People's Vote".
We spoke to the Shadow International Trade secretary Barry Gardiner on the first day of the conference.
More than 100 local Labour associations have submitted motions to the conference, which starts Sunday, urging a "People's Vote" - a new referendum - with a choice between leaving on terms agreed by the government or staying in the EU.
The Sunday Telegraph says Corbyn's comments "pave the way for a significant change in Labour's Brexit policy", and come just two days after Theresa May urged the Labour leader to clarify his position on Brexit, "amid concern that a Labour U-turn could jeopardise any deal reached with Brussels and prevent the United Kingdom from leaving the EU".
"All the polling that we have seen is that the country is still pretty split down the middle".
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And speaking on the fringes of the Labour conference on Sunday evening, Mark Serwotka, the general secretary of the PCS union, also said there should be "no second referendum on the principle" of EU membership.
And he said Mr McCluskey should "stop targeting me" and argue for a "People's Vote" on Brexit.
"They did not do this to be offered a farcical referendum on No Deal or a Bad Deal".
It is an argument Labour's leadership feels keenly, and one that nearly certainly chimes with Corbyn, a veteran eurosceptic who in 1975 voted "No" to Britain's membership of the then-European Community.
A YouGov poll conducted last week found the party could win enough extra votes to bring it to the brink of general election victory by backing a second referendum.
Mr McDonnell said the party would only consider a second referendum if it became impossible to force an election.
Confirmation that the party will vote against the deal in the Commons leaves Tory whips facing an uphill battle to persuade Eurosceptic MPs to back it.
"And if the prime minister thinks we'll wave through a vague deal asking us to jump blindfolded into the unknown she can think again".