Mr Davis believes Number 10 officials are “putting sand in the engine” by trying to rewrite a long-promised Brexit blueprint paper for the fifth time.
A friend of the Brexit chief said he is “very bullish” on making sure the White Paper on setting out the future relationship with the EU be published before a crunch meeting of EU leaders in a fortnight.
The friend said: “He is prepared to go to the whole Cabinet with his concerns if he has to.”
This would be an unprecedented challenge to the PM’s authority and the row over the White Paper is a low for the pair’s relationship.
Mr Davis promised it will be the “most significant publication on the EU” since the Brexit referendum two years ago.
His allies said he was angered when civil servants in Number 10 demanded the “detailed, ambitious and precise explanations of our positions” were delayed as they write the fifth draft.
One said: “For months Europe have been demanding we give them more detail and now we are going out of way not to give it to them.”
Another Minister told The Sun: “Everybody is crying out for a customs decision, whatever it bloody is.
“Then we can at least move on and start selling it to Brussels, businesses and especially our own backbenchers, before they enforce a decision of their own on us in the Commons.”
Two working groups have been ordered to keep working on the two options: a customs partnership and ‘maximum facilitation’.
But it emerged this week that the key decision on a new customs relationship with the EU will be ducked again when the Cabinet’s Brexit committee meets on Thursday.
Senior ministers are calling on Downing Street to enforce a decision on two options which have split the Cabinet.
But Mrs May will instead ask her 11-person inner-team to discuss Melton Mowbray pork pies and Stilton cheese.
What to do about trademark names after Brexit is one of a number of unresolved separation issues she will ask her team to discuss.
An indication of Europe’s concerns about the lack of progress came from Germany’s top Brexit diplomat Peter Ptassek.
He wrote on Twitter: “What to expect from June EU Council regarding Brexit?”
“My personal impression: Not many are expecting very much now.
“If this is so, October would then have to solve all problems (withdrawal, NI, governance, future …) in one go.”