President Trump's executive order banned travellers from seven Muslim-majority countries
The executive order, which effectively prohibits travellers from seven Muslim-majority countries from entering the US, received a 33 per cent approval rating in a ComRes survey.
The order also put a temporary stop to the US refugee programme and indefinitely banned Syrian refugees.
The President claimed the measures were part of his plans for tougher security screening for future visitors to the US.
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No one is above the law, not even the President
US District Judge James Robart
While the ComRes poll found more than half of people polled would not like to see a similar move in the UK, 29 per cent said they would in fact support it.
The poll was conducted for The Independent and Sunday Mirror. ComRes interviewed 2,021 people.
The Republican president’s original order was suspended by a Federal court, on grounds that “no one is above the law, not even the president” – a decision upheld by the Court of Appeal.
Prime Minister Theresa May has invited President Trump for a state visit
Mr Trump reacted to the suspension by announcing his intention to create a new executive order on immigration within days.
He told reporters on Air Force One that a new order would have very few changes, and indicated that it may be signed as early as Monday or Tuesday.
The poll figures also come off the back of comments by Commons Speaker John Bercow, who refused to allow President Trump to address both houses of Parliament during a planned state visit.
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The decision was backed by more than 45 per cent of those surveyed by ComRes.
Mr Trump is expected to visit the UK in June, where he will attend a banquet hosted by the Queen.
Commons Speaker John Bercow says he will not allow Donald Trump to address Parliament
Mr Bercow’s statement, in which he accused the US President of ‘sexism and racism’, caused a political storm and saw his position as Speaker of the House come under threat.
The former Tory MP could now face a vote of no confidence, with reports suggesting almost 150 MPs could back the motion.