“I am going to be explaining why I think this deal is the right deal for the UK”
The Tory leader hopes to lure Corbyn into the exchange where she will argue the opposition has no credible alternative to her plan – something Labour denies.
Mrs May would use the televised debate to wrangle support from ministers who have threatened to sink the unpopular deal.
Some 89 Tory backbenchers have argued the deal with the EU does not secure sufficient freedom for the UK.
She told The Sun: “I am going to be going out and round the country.
“I am going to be talking to people.
“I am going to be explaining why I think this deal is the right deal for the UK – and yes, I am ready to debate it with Jeremy Corbyn.
“Because I have got a plan. He hasnt got a plan.”
But Mrs May said a debate could take place on December 9.</span></span>
This is the date of the final of ITVs Im a Celebrity, possibly meaning millions will opt out of watching the debate.
She added: “Exactly how it might be done, if he takes it up, would be a matter for the broadcasters to determine.
“What I think is important is that people are able to see the issues around this plan.
“I am willing to stand up and explain why I think it is the best possible deal available for the UK.”