Rt Rev Donald Allister of Peterborough is sitting in the House of Lords this week as politicians, in the Commons next door, vote on what to do next.
The outcomes aren't binding but will give Theresa May an idea of what the preferred choices are.
Bishop Donald (pictured below)told Premier a new way of thinking is needed.
"I certainly hope that MPs will be able to come to a compromise this week," he said. "No one's going to get all that they want. It's simply not possible, the numbers in the indicative votes have proved that so far.
"It's time that people sacrifice some of their principles and came together in a good British spirit of pragmatism and working together for the common good."
Conservative MPs are to be given a free vote as the House of Commons seeks an alternative to Theresa May's EU withdrawal deal, but Cabinet ministers will be told to abstain.
Alternatives on offer are likely to include a customs agreement with the EU, a second referendum on any deal and a power for MPs to vote to block a no-deal Brexit.
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