Mrs May stepped down as Conservative leader yesterday but will remain as prime minister until her sucessor is elected.
The first round of voting among the party's lawmakers takes place next week.
Several of the 11 candidates have said they plan to seek changes to her deal, despite the EU saying it will not reopen negotiations.
The European Research Group (ERG), whose opposition to Mrs May's deal helped defeat it three times in parliament, said Britain should not propose merely revising the agreement.
"The Withdrawal Agreement and the Political Declaration have failed absolutely. They are not coming back. The next leader of the Conservative Party needs to know that and act on that basis," ERG deputy chairman Steve Baker said.
In a paper entitled A Clean Managed Brexit, the group said the delay to Britain's departure had done severe damage to public trust and posed "an existential threat" to the Conservative Party.
"It must therefore be the unshakable policy of the government to leave the EU by 31 October 2019," it said.
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