DAVID DAVIS has warned the UK is giving “too much away, too easily” in the exit talks, but backed Theresa May to remain Prime Minister after his dramatic resignation rocked her premiership.

The outgoing Brexit Secretary said the Government had gone further than it should have in the negotiations, in a “dangerous strategy”.

His late-night resignation plunged Mrs May into a fresh leadership crisis and he was swiftly followed out of the Department for Exiting the EU by ally Steve Baker.

Staunch Eurosceptic Dominic Raab was appointed Mr Davis’s successor as Brexit Secretary, in a swift move which scotched speculation that Mrs May might take direct charge of negotiations herself.

The 44-year-old Esher & Walton MP enters Cabinet for the first time, having previously served in more junior ministerial posts in the housing and justice departments.

Appearing on BBC Radio 4’s Today programme just hours after his midnight resignation, Mr Davis said a leadership challenge would be the “wrong thing to do” and insisted he believed Mrs May was a “good prime minister”.

Asked if she could survive, he replied: “Oh yes, of course.”

Brexiteer Andrea Jenkyns said Mrs May’s premiership was “over” but Jacob Rees-Mogg, who chairs the European Research Group of Eurosceptic Tory backbenchers, said he did not believe there would be an immediate challenge.

Downing Street insiders insisted Mr Davis had resigned over a difference of opinion rather than as part of a push against Mrs May, and said he had “done the honourable thing”.

Mr Davis said he told the PM at Chequers that he was going to be the “odd man out in this” as the latest stage of the Brexit strategy was agreed.

He told BBC Radio 4’s Today: “It seems to me we are giving too much away too easily and that’s a dangerous strategy at this time.

“Hopefully we will resist very strongly any attempt to get any further concessions from us on this.”

Describing the plans as having a “number of weaknesses”, he explained that it would “not have been plausible” for him to be “front and centre in delivering” it.