In a letter addressed to Theresa May, the politicians said that exiting the bloc without an agreement would be "highly irresponsible".
Christian and MP for Stafford, Jeremy LeFroy who was one of the signatories to the letter, played down talk of a bitter clash with Brexiteers in the party.
Speaking during News Hour, he said: "I wouldn't say we're at logger-heads. What I'm doing is just representing what businesses in my constituency and businesses nationally are saying.
"The idea that we can just walk away and have no deal for most businesses that I've spoken to that makes absolutely no sense to them whatsoever."
Mr LeFroy insisted that the letter is "very much supporting the Prime Minister who is negotiating extremely hard on behalf of the UK and saying 'we mustn't walk away from negotiations'."
He added: There have been some calls if we don't reach a certain point by a certain date just to walk away but we believe that it's essential for the good of the country and for our long-term relationships with our European neighbours to keep on talking.
"We hope that there will be an agreement on moving on to stage two of the talks very soon and I know that the Prime Minister is doing everything possible to ensure that that happens."
Christian Tory Remainers Stephen Crabb, work and pensions secretary; attorney general Dominic Grieve and Gary Streeter, MP for South West Devon also signed the letter.
Full letter from 20 Tory MPs to PM criticising Brexiter colleagues who "seek to impose their own conditions on these negotiations"... and "deliberately make" WTO option "some status quo" pic.twitter.com/mcw8hBmZMn
— Faisal Islam (@faisalislam) December 6, 2017
The letter reads: "It is highly irresponsible to seek to dictate terms which could lead to the UK walking away from these negotiations."
The letter concludes: "The Secretary of State for Exiting the EU has said that the Article 50 negotiations are the most important in the UK's modern history.
"We agree and urge you to take whatever time is necessary to get the next stage of the UK's relationship with the EU right."
Listen to Jeremy LeFroy speaking with Premier's Alex Williams:
