"My early Christmas present to the nation will be to bring the Brexit bill back before the festive break, and get parliament working for the people", Johnson will say, according to excerpts of his speech that he will make at an event in the West Midlands region of England.
"We can then get the whole thing completed in a matter of days if not weeks, and we're out by January 31", he said.
With Britain heading to the polls on December 12, the governing Conservatives rolled out an election manifesto that promised more public sector spending and no further extensions to the protracted departure from the EU.
Johnson spent more time ridiculing opposition Corbyn than offering details about the plans laid out in the party platform, poking fun repeatedly at Corbyn's plan to remain neutral if a second referendum is held next year, as Labour wants. Johnson said it would see a tidal wave of investment into Britain.
The Prime Minister said a quick lawmakers' vote on his withdrawal agreement, which was on the cusp of progressing through the Parliament before Johnson pulled it in favor of an election, would open a "new chapter" in Britain's history and allow the country to leave the European Union by its current deadline of January 31.
The Tories are launching their election manifesto this afternoon.
They also seem set to benefit from Nigel Farage's Brexit Party pulling out their candidates from more than 300 seats being defended by the Conservatives.
"After a decade of the Conservatives cutting our NHS, police and schools, all Boris Johnson is offering is more of the same: more cuts, more failure, and years more of Brexit uncertainty", Corbyn said, adding that only Labour can deliver "real change".
The Prime Minister's party is enjoying a healthy lead in opinion polls, though the range of predicted vote shares suggests a hung Parliament remains a possibility.
Instead, he promised 23.5 billion pounds ($30.2 billion) worth of "sensible" tax cuts and higher spending, including on the National Health Service which would gain 50,000 nurses.
Corbyn has said he would remain neutral in such a vote, something his finance policy chief John McDonnell described as the Labour leader adopting the role of "an honest broker".
Think-tanks such as the Institute for Fiscal Studies have raised questions about how both the Conservatives and Labour would fund their plans.
Hospital auto parking charges in England would be axed for certain patients and National Health Service staff.
In a heated campaign where the Conservatives have been criticized for disseminating misleading social media posts, Johnson, 55, said "the Twittersphere" was not really his province, trying to deflect any criticism of dirty tricks.
"Let's go carbon-neutral by 2050 and Corbyn-neutral by Christmas", he said to appreciative chuckles from the crowd.