The revelations came after Mr Farage was blasted by top Brexiteers, including those within his own party, over his remarks on a second referendum.
Nigel Farage's surprise call for Britain to prepare for a second European Union referendum has ignited hopes among anti-Brexit campaigners that both sides of the debate will back a poll on Theresa May's final deal.
"The debate that we had was hypothetical", said Mr Umunna.
Farage first announced his somewhat surprising new standpoint on Channel 5's The Wright Stuff on Thursday, January 11.
Former transport secretary and Labour peer Lord Adonis resigned as chairman of the National Infrastructure Commission last month over the Government's Brexit plans.
"In a democracy like ours, the British people have every right to keep an open mind about Brexit".
One person said: "I think a decision has been made and we have to stick by it".
GETTYNigel Farage will have to pay back £35,000 to Brussels
Voters questioned for the ComRes poll showed little appetite for going back to the ballot box, with just 43% saying that they want a second referendum against 51% who did not.
"At the end of the day, if we do end up with another referendum, how on earth can it "thwart the will of the people" if the people are the ones who have the final say on the deal?"
Just 30% said they were confident Theresa May would get a good Brexit deal, compared with 65% who were not.
The MP for Workington, said: "Labour is not calling for a second referendum, however, I believe there must be accountability over the Brexit process and Parliament must be at the heart of this". We've won the vote, why would we put that at risk by having a second one?
The ex Ukip leader, who met with the EU's chief Brexit negotiator Mr Barnier this week, said he has become convinced Brussels is determined to give the United Kingdom a bad deal to punish the country for quitting the bloc.
The poll of 1,049 people was commissioned by the Daily Mirror, emerged as the former Ukip leader hit the media to insist to that he does not want another vote, despite using a an appearance on live TV yesterday to suggest there should be one.
"The percentage that would vote to leave next time would be very much bigger than it was last time round".
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