But the public are much more in favour of including someone who would be willing to consider a "no-deal" Brexit as a serious option as well as Mrs May and Mr Corbyn - 63% say such a figure should be included, while 37% say there should not.
Speaking during a visit to the Royal Welsh Winter Fair in Builth Wells, Powys, Mrs May went on: "As regards the United States, we have already been talking to them about the sort of agreement that we could have in the future".
Many voters ignored government warnings of a dire outcome for the economy when they made a decision to leave the European Union in the 2016 referendum and it is not clear that lawmakers will be swayed by forecasts about the effects of a no-deal Brexit.
It would also take us out of the customs union and possibly deprive us of the benefits of EU trade deals with more than 40 other countries.
"If ministers spent time preparing for a no deal scenario, rather than dreaming up silly scare stories, we could all make a success of our post-Brexit future".
British Prime Miniser Theresa May on Tuesday embarked on an election-style campaign across the country, leaving behind a hostile House of Commons, which will cast the make-or-break vote on her Brexit deal on December 11 after five days of debate by members of parliament.
Jeremy Corbyn, leader of the main opposition Labour Party, told May that ploughing on with a deal opposed by the public and MPs was an act of national self-harm.
She said on Tuesday: "We will have an independent trade policy and we will be able to do trade deals with countries around the rest of the world", citing a political declaration on future relations with the European Union agreed in Brussels on Sunday.
"There is not a better deal available", May told the House of Commons.
New Indian High Commissioner to United Kingdom congratulates Mary Kom
Mary Kom won a historic 6th gold at the Boxing World Championships to become the most decorated women's boxer at the competition. In my weight category, there are a lot of experienced players. "This was good result for me", Sonia said after the bout.
May has refused to answer when asked if she would quit Number 10 if there is a vote against her deal. Get Me Out Of Here!.
The First Minister indicated she was ready to support a so-called "Norway plus" deal, which appears to be gaining traction at Westminster and would see the United Kingdom remain in the EU single market and customs union, as well as maintaining freedom of movement. And that wouldn't be a good thing.
"We hear anecdotal evidence every day of universities finding it harder to recruit people from other European countries because they've already decided to make judgments about what they're hearing and feeling about the Brexit process, so there is, I think, growing evidence of the adverse impact this kind of deal will have". "That would be a very big negative for the deal", said the president, who is close to leading Brexiteers in the UK.
They are expected to use the next two weeks to argue there is no Commons majority for any of the alternative proposals being suggested in Westminster, meaning the prime minister's agreement is the only alternative to no-deal.
"We have a working group set up and that is working very well, has met several times and is continuing to work with the USA on this".
May's Chief of Staff Gavin Barwell will on Monday evening hold a briefing with opposition MPs in a bid to win them over to her deal.
The refusal to release the legal advice emerged as Sajid Javid, the Home Secretary, admitted that the Government is also unlikely to publish an.
"If the deal is voted down in the House of Commons, it will lead to more division and more uncertainty".