Dominic Grieve has said that second referendum would give the UK a "way out" of the Brexit impasse.
The former attorney general said at present there were two outcomes to the "current crisis"; a general election or a second referendum.
"There is a way out by having a referendum," he told talkRADIO's Alastair Stewart, suggesting giving voters an option of no deal, the Prime Minister's deal or remain on the ballot paper.
"If there were to be a referendum and the majority of the population wanted a no-deal Brexit, then that is clearly it."
He continued: "The general move from the candidates standing for the Conservative leadership is to insist that a further referendum is completely out of order, and if that is the case we will end up with a general election."
But he warned against an election, claiming it could lead to another party getting into power.
"If the new Prime Minister wants a general election in order to secure majority support from the country and set up a new administration, that Prime Minister can do it," he said.
"But equally of course, the result of the election might be totally inconclusive or indeed damaging, and put another party into power."
It is expected that the Prime Minister will set out a date for her departure today, and is set to meet with 1922 Committee chair Sir Graham Brady later today.
"The process of ordinary governance of this country has almost ground to a halt," Mr Grieve added.
"Decision making on anything, even executive decision making, has virtually stopped and this can't be good because the world around us keeps on changing."