Conservative MP, John Redwood, has claimed a no-deal Brexit would be a "perfectly good outcome".
The MP, who is a member of Eurosceptic pressure group Leave Means Leave, said if the UK leaves without agreeing a deal with the European Union, it would "deliver Brexit completely".
"The quite likely outcome now is that we simply leave. Parliament in its wisdom has twice passed pieces of legislation which mean if nothing else happens we leave on the 29 March 2019," Mr Redwood told Julia Hartley-Brewer.
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"What we're arguing about is whether Parliament should now pass another piece of legislation to water that down, to delay it, or change the terms. As the Prime Minister can't even get an agreement with the EU over that, time is running out for Parilaiment to be asked to legislate in that way so we will just leave on March 29.
"I think we have to understand that if nothing else happens, if the EU continues to reject Chequers, and if Theresa May continues to stick with Chequers then we will just leave with no agreement whatsoever, and I think that's a perfectly good outcome which delivers Brexit completely."
Mr Redwood said it was "frustrating" that the Prime Minister was continuing to push the Chequers deal during negotiations with the EU.
Theresa may recently told MPs it could be in Britain's interest to agree an extension to the transition period after it leaves the European Union.
"The frustrating thing is that she [Theresa May] thinks Cequers is still a set of proposals that the EU is interested in, whereas our understanding is that the EU rejected Chequers almost as soon as they came out because they break certain clear rules that the EU has already stated.
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"They don't allow you to be half in and half our of their single market. We on the Brexit side accept that agree with the EU that we are leaving the single market completely, as voters said they would do when we voted leave, and neogtiate a free trade agreement which we think the EU is willing to do."
Mr Redwood added that he shared "common ground" with the Prime Minister in wanting to see if there was an agreement that could be reached with the EU that was better than leaving without one.
"We don't have very much time left to try and reach an agreement with the EU and we're still willing to carry on negotiating to see if there's an agreement there that's better than leaving without an agreement. That's the common ground with the Prime Minister," he said.