The Prime Minister went on the offensive as she launched an intensive two-week campaign to try and get her European Union exit agreement through the Commons.
She said she would prove: "I have got a plan, he hasn't got a plan". "He hasn't got a plan".
A day after the suggestion was first mooted in the Daily Telegraph, Mrs May told the Sun the format of the debate would be "a matter for broadcasters to determine", but she was ready for the challenge.
Asked today whether she had considered holding a bushtucker trial instead, May replied: "I think this is an issue on which we want to debate the questions of our future".
"I am willing to stand up and explain why I think it is the best possible deal available for the United Kingdom".
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.
Confirmation of the timetable came as the prime minister discussed with her cabinet at a one-hour political session how she was going to sell her Brexit deal to MPs and the country at large.
Jeremy Corbyn’s joke at Theresa May’s expense triggered laughter on the Labour benches
"My deal delivers for every corner of the United Kingdom and I will work hard to strengthen the bonds that unite us as we look ahead to our future outside of the EU", Mrs May said, adding she had "fought to ensure that powers returning from the EU will be restored to the National Assembly for Wales, the Scottish Parliament and the Northern Ireland Assembly".
"When you negotiate, neither side gets 100% of what they want, it is about compromising but you have to be clear about what your vital interests are, and we have protected those vital interests and that includes protecting the interests of the people of Northern Ireland". And that wouldn't be a good thing.
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, hopefully, she'll be able to do something about that. "No guarantee of smooth trade in the future and no ability to reduce the tariffs that we need to conclude trade deals with the rest of the world", Fallon told BBC radio.
May faced further censure on Brexit from the United States, where President Donald Trump said the European Union got a good deal that may make trade between Washington and London more hard.
"We have already been laying the groundwork for an ambitious agreement with the United States through our joint working groups, which have met five times so far".
"I am focusing on the vote that will take place in the House of Commons and I am focusing on what is a very significant decision for Members of Parliament to take for the future of our country", she said.
The timing gives Mrs May a fortnight to avert what threatens to be a humiliating defeat at the hands of scores of Conservative rebels.