Jeremy Corbyn at the United Kingdom opposition Labour party local election campaign launch.
She said she would prove: "I have got a plan, he hasn't got a plan". "He hasn't got a plan".
The former foreign secretary turned vocal backbench Tory critic of the Prime Minister stopped short of putting himself forward to challenge her in a live broadcast.
She said: "Nothing has been settled in terms of when the debate will take place but I think this is an important moment for our country and it is right that we treat it with the seriousness it deserves".
"I have a clear deal that I believe is in the interests of the United Kingdom and I think it is right for people to hear what Jeremy Corbyn's views are as those have been a little uncertain recently about exactly where he stands".
After groups with nearly every possible position on Brexit said they should take part in any broadcast ahead of the meaningful vote, Mrs May said on Tuesday she and the Labour leader represented nearly 90% of MPs in the Commons.
The US president told reporters: "Sounds like a great deal for the EU".
UEFA Europa League match FC Vorskla v. Arsenal FC relocated to Kyiv
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Maurizio Sarri Has One-On-One Meetings Following Loss To Spurs
Kante's adopted a different position from last season, playing a more attacking role following the summer signing of Jorginho. It's very hard for me to understand why we played without determination in such an important match.
"As he will also know there's a timetable for these payments and of course a key element of this is ensuring we're able to have an implementation period which of course is so important for our businesses to ensure they only have to make one set of changes and there is a smooth and orderly transition".
Asked if Nicola Sturgeon should take part, the spokesman said: 'The meaningful vote is for MPs and the last time I checked, Nicola Sturgeon did not fit that description'.
His comments came as former prime minister Tony Blair stepped up calls for a second referendum and suggested Labour was shifting towards that position. And, I don't think they want that at all.
He added: "This deal is not a plan for Britain's future, so for the good of the nation the House has very little choice but to reject this deal".
Mrs May replied: "What I said in my statement was that neither we nor the European Union were entirely happy with the backstop arrangements that were put in place".
"We have already been laying the groundwork for an ambitious agreement with the USA through our joint working groups, which have met five times so far".
Mr Corbyn warned that under the deal the United Kingdom would have to "agree to demands on waters and quota shares" to get a future trade deal or extend the transition.
But in a series of tweets he said a head-to-head between her and Mr Corbyn offered a "false choice" because neither's plans "are Brexit".
The timing gives Mrs May a fortnight to avert what threatens to be a humiliating defeat at the hands of scores of Conservative rebels.