Last month, the Prime Minister gave the EU until October 15 to secure a post-Brexit trade deal with the UK, in order to make sure both parliaments have time to ratify an agreement before the end of the transition period.
However, the EU’s chief negotiator Michel Barnier has suggested the deadline will not be adhered to.
Mr Barnier told EU ambassadors the talks will likely continue past Thursday’s deadline and does not believe the UK will pull out of the talks if an agreement is not reached.
But an Express.co.uk poll asked whether Mr Johnson should walk away from crucial talks if the deadline is missed.
The poll – which ran from 9am to 7pm on Monday – received a staggering 9,923 votes.
Out of these votes, 98 percent (9,738) urged the Prime Minister to walk away from talks.
Just two percent (164) said Mr Johnson should not walk away from talks, while 21 people opted for ‘don’t know’.
Responding to the poll, one reader said: “Bottom line, you have to draw a line at some point, Thursday is the line, has to be OVER.
“The leadership of the EU has made it clear, they are NOT intelligent enough to strike a trade deal without the UK surrendering its sovereignty as a nation.
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“Just do what all the proud British people have mandated you to do Boris, tell the EU to get lost!”
A third reader said that while a no deal “may not be the answer” it is a solution.
They said: “This farce has now exceeded four years. The EU has employed every single delaying tactic imaginable, including threats.
“The EU has confirmed beyond a doubt that they have not, nor ha wished to, negotiated in good faith, and it’s time to call it a day.
“No deal may not be the answer, (but it is a solution), but at least this EU constant whining, and threats will be over, and done with and we can get on with our lives unhindered.”
A fourth person added: “Of course we should walk away… The EU have time and time again instructed us that we have to respect the time frame, and the deadlines put before us, it shows a lack of respect on their part if they ignore our deadlines…”
Trade talks are likely to continue until the end of the month, rather than stopping on October 15.
The European Parliament has said it could ratify an agreement if one arrived before November.
Informal Brexit talks are taking place in Brussels this week, ahead of a European Council summit on Thursday.
Mr Johnson previously said the meeting is his deadline for a deal, having imposed the time limit early last month.