The health secretary has said that if the Prime Minister loses today's confidence vote, it will not affect the "position of the EU" on Brexit.
Matt Hancock appeared on the breakfast show to discuss the news that 48 letters of no-confidence had been submitted to 1922 Committee chair, Sir Graham Brady, triggering a leadership challenge.
However, Mr Hancock said that whatever the outcome of the vote, it would not "change the arithmetic in Parliament".
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"A change of leader doesn't change the position of the EU, it doesn't change the numbers in Parliament, it doesn't change the fundamentals," he told Julia Hartley-Brewer.
"It doesn't change the fact we need a close free-trading arrangement with the EU, it doesn't change the propositions that the EU has made, and ultimately, especially in the middle of landing this enormous negotiation, to change horses now is not in the national interest."
The politician claimed it would create "huge uncertainty and delay" with regards to Brexit, and could extend the process to beyond the January 21 deadline to secure a deal.
He added that he hoped the Prime Minister won the vote "overwhelmingly".