Asked whether he would back the Prime Minister if she made a decision to take the United Kingdom outside the Brussels bloc without an agreement, he replied: "I don't think no deal is a good idea at all".
Wilson said the legal assurances secured by May "fall short" of her promises, but he did not indicate whether the party would, again, vote against the Withdrawal Agreement in the House of Commons.
Mrs May believes the three new documents agreed with Mr Juncker will give MPs the legally-binding reassurances they require to approve her Withdrawal Agreement and Political Declaration on the future EU/UK relationship. Because there will be no third chance.
At a late-night news conference Monday in Strasbourg, France, May and European Commission President Jean-Claude Juncker announced changes created to overcome lawmakers' concerns about provisions created to ensure the border between EU member Ireland and Britain's Northern Ireland remains open after Brexit.
"Now is the time to come together to back this improved Brexit deal and to deliver on the instruction of the British people".
Many British lawmakers object to the backstop on the grounds that it could leave Britain subject to European Union rules indefinitely or cleave Northern Ireland away from the rest of the United Kingdom.
The last meaningful vote on May's deal, on January 15 this year, saw the largest defeat in Commons history.
Another defeat in parliament could see Britain sever ties with its closest trading partner on March 29 with no new arrangements, causing huge disruption on both sides of the Channel.
The Prime Minister will fly to Strasbourg tonight to finalise talks with European Commission President Jean-Claude Juncker ahead of the United Kingdom parliamentary crunch vote on Tuesday.
So what now for Theresa May and for Brexit?
Brexit-supporting MPs reacted cautiously to news of the agreement, but said they wanted to examine the detail.
The DUP, which props up may's minority government, said "sufficient progress has not been achieved" on the key issue of the Irish border.
May s trip to Strasbourg caused concern among some MPs, who had complained they may not have enough time to scrutinise what May agreed before being asked to vote.
May s initial deal was struck after 18 months of tough negotiations, and covers Britain s financial settlement, expatriate rights, the Irish border and plans for a transition period.
MPs will vote whether to leave without a deal.
The Commons later sent her back to renegotiate the backstop.
Tory Brexiteers are concerned that the backstop could leave the United Kingdom permanently in the EU's customs and regulatory orbit, while DUPers will not allow a barrier or difference in status to exist between the North and the rest of the UK.
And Juncker warned Britain "there will be no new negotiations" if lawmakers rejected the deal again.
"We have secured legal changes", May said in a late night news conference in Strasbourg beside Juncker, 17 days before the United Kingdom is due to leave the European Union on March 29.
The spokesman for Northern Ireland's pro-Brexit Democratic Unionist Party, Sammy Wilson, said the party rejected the legal assurances that UK Prime Minister Theresa May negotiated with European Commissioner Jean-Claude Juncker in Brussels on Tuesday.
Any postponement would have to be approved by the leaders of the other 27 nations, who are next meeting at a Brussel s summit on March 21 and 22 - a week before Brexit day.
"We have long said that it is vital the Conservative Party delivers on its commitment to take Britain out of the European Union, and honours the historic referendum result", it said.
"This is all words and twisted meanings".
The main opposition Labour Party also maintained its opposition to the deal.
Parliament rejected May's deal by 230 votes on January 15, prompting her to return to Brussels in search of changes to address the so-called Irish backstop - an insurance policy created to prevent the return of a hard border between Ireland and Northern Ireland.