The Tory MP told talkRADIO that an alliance between the two parties in an effort to oust Boris Johnson would be "ridiculous".
He said he supports Boris Johnson’s pledge not to speak with the European Union until it drops the Irish backstop.
He has urged Conservative remainers to stop fighting the party’s efforts to deliver Brexit once Boris Johnson takes power.
The MP said that comments from Jeremy Hunt that equated Northern Ireland veterans with IRA terrorists were “outrageous”.
The vice-chair of the European Research Group said he "fundamentally disagrees" with Tory leadership contender Michael Gove.
One of the constant critics of outgoing Prime Minister Theresa May has called her resignation “a very sad occasion”.
The Conservative MP said he would be voting "for a Brexiteer" to take over the party.
"The one upside of the European elections is that the British establishment, in all their cosseted, feather-bedded, oh-so-superior smugness are going to get the shock of their bloody lives."
The deputy chairman of the European Research Group has said that “naughty names” will not stop the ERG after Labour MP David Lammy defended comparing the group to the Nazi party.
Conservative MP Mark Francois has called for an “indicative vote of confidence” on Theresa May’s leadership this week.
The ERG's deputy chair said MPs were "honour-bound" to respect the result of the EU referendum, as rumours of a "coup" to overturn Brexit emerge.
The Conservative MP said that some politicians believed they were "cleverer" than the people who elected them.
John Bercow has defended the European Research Group after BBC presenter James Naughtie claimed they were like France’s National Front.
Mark Francois from the European Research Group has said that he has seen “better run Parish councils” than what he saw in the House of Commons this week.
Mark Francois, the deputy chair of the European Research Group, has said that the group led by Jacob Rees-Mogg are called “right-wing extremists” for upholding the result of the EU referendum in 2016.
The Conservative MP says he is "not frightened" of the backlash to comments he made last week, in which he accused the Airbus CEO of "German bullying".
The European Research Group vice-chair said MPs were "honour bound" to see Brexit through, and that the Queen should not be asked to make an "incredibly difficult decision" on the issue.
An official has claimed the UK can revoke Article 50 without the formal agreement of the 27 leaders of the other EU member states or EU Commission.