Amber Rudd will use her first speech since she left the government to ask for crossover efforts to consider proportional representation.
In a speech at the Reform thinktank in London on Thursday evening, Rudd – who left the post of secretary of labor and pensions and resigned the conservative whip on Boris Johnson's Brexit plans – will ask for compromises to leave the ; EU, warning that either no agreement or revocation of article 50 would risk public anger.
Comments on electoral reform are more remarkable given that they indicate a potential willingness of at least some high-level conservatives to consider replacing the current first-place system.
Given the impasse on Brexit, Rudd has to say, it is time to "ask ourselves some difficult questions about whether our institutions remain fully fit for purpose".
He will add: "A divided House of Commons and a House of Lords that is swollen have not been able to resolve this logjam. Has the time finally come to put the right inter-party efforts into electoral reform?
"Would a more proportional representation system have seen our institutions better able to respect the election results?"
While the Liberal Democrats, the Scottish National Party, the Brexit Party, the Green Party and the Cymru Plaid are members of a inter-party campaign for electoral reform, this has resisted work and conservatives.
The official conservative line is that the 2011 electoral reform referendum, implemented as a price for the Lib Dems joining the Tories of David Cameron in a coalition, resolved the issue, since the change was rejected by 68% to 32%.
However, critics argue that the fact that the partially proportional alternative voting system was offered in 2011 and that Brexit was such an intractable problem means that the issue should be reviewed.
For Brexit, say Rudd, the United Kingdom risked having to choose a departure without agreement or the process completely abandoned.
"The choice of one of these paths would completely alienate those from the other part of the topic," he will say. "It would risk fueling the anger, resentment and divisions we are already facing."
An alternative compromise could be based on Theresa May's withdrawal agreement, which was rejected three times. "A happy medium risks to disappoint everyone. I still believe that the compromise is the right approach, "says Rudd.
"But it is extremely difficult for elected politicians to defend policies that are literally nobody's first choice. Many people recognize that we must leave, but we cannot continue trying to demolish a type of Brexit through a parliament in which parliamentarians have a vision different of their democratic responsibilities.
"The tragedy here is not that one party is anti-democratic, but fundamentally our democracy has expressed two opposing points of view".
It also plans to appeal to Labor to support any emerging agreements. "Politicians have the responsibility to recognize the crisis in which we find ourselves and to find solutions", said Rudd.