Cabinet Minister Amber Rudd has told the BBC she is "committed to making sure we avoid" a no deal Brexit and would not rule out resigning over it.
The work and pensions secretary said she was "going to wait and see" whether the prime minister allowed MPs a free vote on potential options next week.
Labour MP Yvette Cooper has tabled an amendment to delay Brexit if no deal is reached by the end of February.
MPs heavily rejected the deal Theresa May agreed with the EU last week.
The UK is due to leave the EU at 23:00 GMT on 29 March and the prime minister has faced repeated calls to rule out the prospect of leaving without a deal, if no agreement can be reached.
www.bbc.co.uk/news/uk-politics-46991042
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