Johnson said he wanted to get rid of the hotly contested element of the Brexit divorce agreement - the Irish border backstop - and that there was no point in leaving the EU if one stayed locked in an EU customs union.
He will suggest that voters are "desperate" for the country to focus on other priorities and will contrast his determination to leave on 31 October with the "years of uncertainty" that he says would result from a Labour government promising another referendum.
Mr Johnson said on Tuesday that he would submit "a very good offer ... very soon".
"Yep, definitely", Cummings said when asked if Brexit would take place on October 31.
Another said a move "half an inch" from the current proposal to keep open the sensitive border between Ireland and British-ruled Northern Ireland would make a deal hard. "It is certainly true that other European Union countries also don't want this thing to keep dragging on".
"That's what I've had to conclude because no friend of Gibraltar could be possible be prepared to get behind Boris Johnson's disastrous vision of Brexit, one that leaves the people in Gibraltar worse off...and thousands of people facing huge delays to get to work every day between Gibraltar and Spain".
Speaking in Prague on Monday after meeting his Czech counterpart Andrej Babis, Antti Rinne says the best option for Britain's orderly exit from the European Union is the agreement already negotiated between the two sides. So far the United Kingdom has floated the idea of a common area for livestock and agricultural products, plus largely untested "technological solutions".
Foreign minister Simon Coveney swiftly dismissed the leaked proposal as a "non-starter", a position echoed by the Irish opposition party Sinn Fein. "NI and IRE deserves better!"
And to the criminals, I simply say this: We are coming after you'.
China marks 70 years of Communist rule with massive show of force
China is preparing for a highly-choreographed anniversary celebration on October 1, including a huge military parade and anniversary gala.
"Had he not, in my view, it would have been hard evidence of bad faith on behalf of the British government", Irish Prime Minister Leo Varadkar said.
It is alleged Ms Arcuri received favourable treatment due to her friendship with Mr Johnson, but the PM has said there was "no interest to declare".
"I don't doubt what he has said for a second but I'm not going to get drawn into these allegations". It is also likely to face opposition from Dublin.
Last week, the country's top court said Johnson acted "unlawfully" to prorogue the parliament for 5 weeks until October 14 and declared the move "null and void".
"They are beginning to suspect that there are forces in this country that simply don't want Brexit delivered at all".
And he maintained his defence of language like "betrayal" and "surrender" when referring to opponents of Brexit.
Now Johnson just has to convince the wider voting public that despite tensions over Brexit, he can be a unifying figure.
"And I think everybody who is familiar with the situation in Ireland, in Northern Ireland, could understand why you wouldn't want it both for practical reasons and also for reasons of sentiment that we totally, totally understand."
"The old generous-hearted, loving mayor of London - that person has not gone away", Johnson told the BBC.