Both the Tory and Ukip politicians fumed over the way Theresa May is planning for Britain to leave the EU.
Ms Evans backed the Prime Minister's plans before Ms Soubry jumped in, suggesting that British businesses were fearful of a cliff edge.
Last week the House of Commons debated and voted on a bill which would allow Mrs May to trigger Article 50.
Parliament voted with a huge majority on the first bill to give power to the Prime Minister to trigger Article 50 when she pleases, as she aims to begin the Brexit process by the end of March.
Suzanne Evans and Anna Soubry clashed over how British businesses are preparing for Brexit
Speaking on The Andrew Marr Show, both politicians entered a fierce debate over how business feeling as the beginning of the Brexit process nears.
Ms Evans said: “There are so many countries that are out there that are not in the single market who don’t have a trade deal with the European Union.
“But I don’t see them thrashing about at the bottom of the cliff, gasping for breath to save their lives, many of them are actually doing incredibly well.”
The politicians crossed swords on the The Andrew Marr Show
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There is not going to be a cliff edge, there is no cliff edge
Tory MP Ms Soubry then argued back at the Ukip politician with a snappy response.
She said: “Suzanne I think you really need to talk to British business.”
Quick to react, the Ukip politician who ran for leadership of the party in November 2016 insisted that she had been speaking to businesses in the UK.
She said: “I do talk to British business, and what I am really pleased about Anna is that I am seeing British businesses increasingly becoming much more positive.
The House of Commons debated and voted on the Article 50 bill last week BORDER-FREE Schengen: Countries you can visit WITHOUT a passport Mon, January 23, 2017
If you are an EU national, you do not need to show your national ID card or passport when you are travelling from one border-free Schengen EU country to another. The Schengen Area is an area comprising 26 European states that have officially abolished passport and any other type of border control at their mutual borders.
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“Even the CBI [Confederation of British Industry], straight forward Remainers, absolutely pushed for the Remain agenda and now actually coming round to this idea that Britain has a brighter future, outside the European Union.”
However the Conservative MP continued to argue back with the Ukip politician fuming over whether businesses couple be facing a “cliff edge”.
Ms Soubry said: “Yes, that’s different from cliff edge. And I don’t think you would find that the CBI wants us to go off a cliff edge.”
The Ukip politician then finished by bashing the Tory MP one last time concluding that, “There is not going to be a cliff edge, there is no cliff edge.”
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