"Doing so would be a catastrophic and unforgivable breach of trust in our democracy", May said.
More than 90 Conservative MPs said in December they would vote against Mrs May's deal.
However, his priority is to force a national election and he said he would propose a vote of confidence in the government "soon" if May loses on Tuesday.
Former prime minister Sir John Major has said the United Kingdom must revoke Article 50 and cancel Brexit to avoid no-deal because "jumping off a cliff never has a happy ending".
And he warned of a "growing risk" that Parliament could frustrate Brexit, following reports of a plot to change Commons rules to enable backbench motions to take precedence over Government business if Mrs May's deal falls.
While in the second they voted for the government to come back to the Commons with a plan B for Brexit within three days should it lose Tuesday's vote.
If a confidence vote failed, he'd be under pressure to back a second Brexit referendum, risking a backlash from the many Labour supporters who voted to leave the EU.
"If MPs who represent seats that voted 70% to leave say "sorry guys, we're still going to have freedom of movement", they will turn against the political mainstream".
Asked during an interview on BBC TV about the possibility of a second Brexit referendum, Corbyn said: "My own view is that I would rather get a negotiated deal now if we can to stop the danger of a no-deal exit from the European Union on 29 March which would be catastrophic for industry, catastrophic for trade".
The British parliament will act to stop a no deal Brexit from happening, Vince Cable, the leader of the pro-EU Liberal Democrats, said on Sunday.
Corbyn said Labour would vote against May's deal, and if she lost would start moves to trigger a general election.
Former prime minister Sir John Major has said revoking Article 50 is the "only sensible course" but accepted this would be "politically uncomfortable".
"I would love a general election because that would allow us to give a very clear statement to the Tory government as to where we're standing", he said. We can not - and must not - let you down.
Some commentators suggested the looming Article 50 deadline for the UK's exit from the European Union on 29 March would force MPs into accepting the deal, being faced with a no deal as the only alternative.
Mrs May was boosted on Thursday by two Tory backbenchers - her former policy adviser George Freeman, and Trudy Harrison - indicating they will back her deal, as well as by a call from Japanese PM Shinzo Abe for the United Kingdom to avoid no-deal.
But officials said Brussels would be in listening mode, and take guidance from the prime minister as to the next steps should she suffer a heavy defeat as is widely expected.