The People’s Vote campaign group has said a no-deal Brexit would “cause huge division and ruptures in our democracy”.
Spokesman Francis Grove-White told talkRADIO’s Alastair Stewart leaving without a deal was never discussed in the 2016 referendum, and therefore a fresh vote is needed.
“You only have to go back and watch any of the endless speeches by Michael Gove and Boris Johnson and others in the Vote Leave campaign promising that we would continue to be a part of the European free trade zone. That we would get a great deal,” he said.
“What would be a democratic outrage would be to have a no-deal Brexit forced on the country by a Prime Minister elected by 160,000 Conservative members without anybody else being given a say.”
Mr Grove-White said he struggles to see how a general election could improve the situation for either side.
“If you look at all the polling it’s quite likely that a general election would result in another hung Parliament. That we may end up with either a coalition or another confidence in supply agreement," he said.
"We’ve seen how well that worked out for Theresa May with the DUP."
He added: “The Labour Party is clearly split over this issue, as is the Conservative Party. Split in different ways, and we’ve seen that over the past couple of years.”
Mr Johnson has said if elected he will leave the EU on October 31 “do or die, come what may” while Jeremy Hunt said he hopes to leave by Christmas.
Last week Labour leader Jeremy Corbyn officially pledged to campaign for any Brexit deal to be put to a public vote.