Esther McVey has claimed that around "75 per cent" of MPs are attempting to overturn the Brexit vote.
The MP said she would vote in favour of Theresa May's deal this week, and appeared on the breakfast show to discuss why.
"We have got 75 per cent of MPs in House who are remain or voted remain, and what you have seen is they are frustrating [Brexit] every step of the way," she told talkRADIO's Julia Hartley-Brewer.
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"To think you're going to get some miraculous vote in the House that is either going to give us Brexit as in no-deal - which I've always said is a way I'm happy to go forward with - or Brexit with the best deal, that's for the birds when you're against 75 per cent of the House."
Ms McVey argued that voting in favour of the deal was a result of being a "committed Brexiteer".
"Brexiteers are standing up for democracy. There are fewer of us in the House but we all want the same thing. Every Brexiteer wants to get out and we all stand together in that," she said.
"We will be coming out of the EU, we'll do it over several steps."