"We put a good deal on the table that protects jobs and security".
Barry Gardiner, the Shadow Trade Secretary, suggested it would be tabled "immediately" after Mrs May lost the vote but a spokesman for Mr Corbyn suggested the Scot was "speculating".
When pressed by host Mishal Husain whether this was a concrete pledge, he said: "We have said that we will bring forward a vote of no confidence in the Government when they lose their key legislation".
The Britain is due to leave the European Union on March 29, but the British Prime Minister Theresa May is struggling very hard to get her Brexit deal passed through the parliament with opening huge uncertainty over whether the deal could be possible or not, or even whether the country will vote to leave at all.
Responding to Mr Corbyn's expected comments, Labour MP Jo Stevens warned her leader of an "historic" election defeat if the party adopted a pro-Brexit position before a national poll.
But the Labour leader will describe an election as "not only the most practical option, it is also the most democratic option".
Pressure has intensified after a large-scale opinion poll commissioned by the People's Vote campaign indicated Labour could suffer a backlash from voters if it failed to oppose Brexit in Parliament.
Preparations for leaving without a deal - the default scenario if Mrs May's agreement is rejected - have been ramped up, with government and businesses activating and testing contingency plans created to limit the expected disruption.
She is hoping new proposals on Northern Ireland will change enough MPs' minds to save the deal.
In his speech in Wakefield to an audience of workers and party members, the Labour leader will say: "If the Government can not pass its most important legislation, then there must be a general election at the earliest opportunity".