GETTY The poll results will boost the hopes of the Leave campaign

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A survey found that 71% of Britons believe net migration has been too high over the last decade. Fewer than one in five voters (12%) believe that all EU migrants should have the right to come to the UK, according to the research carried out by polling firm YouGov for 5 News. And a clear majority (58%) think that citizens of other EU nations should only have the right to come to Britain if they have a definite offer of a job.

The survey of more than 2,000 voters was last night being seen as another hammer blow to David Cameron's campaign to keep Britain tied to Brussels.

If we Vote Leave we can take back control of our borders Employment minister Priti Patel

And if followed a scathing attack by senior Tory Boris Johnson on the Prime Minister, Chancellor George Osborne and Home Secretary Theresa May for failing in their promise to cut annual net migration to the "tens of thousands". It also comes as fresh evidence is expected today of the impact of migration on Britain's public services as hundreds of thousands of families are due to hear whether their children have got places at their chosen primary school. A senior Tory minister last night warned that the strain on public services will intensify if Britain stays in the EU.

GETTY The survey found that 71% of Britons think net migration has been too high over the last 10 years

Employment minister Priti Patel, a leading supporter of Brexit, said: "The truth is that for as long as we remain a member of the EU we are completely unable to control the numbers of people coming to this country. “And with another five countries - Albania, Macedonia, Montenegro, Serbia and Turkey - in the pipeline to join the EU the problem is set to get even worse. "If we Vote Leave we can take back control of our borders. "We can also take back control of the £350 million we send to the EU every single week, and reinvest it in our vital and invaluable public services. "This is yet another example of how Britain can look forward to a more prosperous, more secure future if we Vote Leave." The poll, commissioned ahead of a week of coverage of the immigration issue on 5 News, found that 69% thought pressure had increased on public services in their local area.

EU referendum Sat, February 20, 2016 With an in/out referendum on EU membership set for June 23 this year, we're taking an overview look of David Cameron's two-day visit at EU summit at EU headquarters in Brussels and his return to Downing Street to meet with his cabinet. Play slideshow AFP/Getty Images 1 of 21 British Prime Minister David Cameron speaks at Downing Street

A total of 63% of voters questioned in the survey wanted tighter border controls. Only 14% thought the current level of immigration was "about right". Nearly one in three voters (31%) felt the level of immigration had a "negative impact" on their lives. One in five voters (20%) said migration would be the most important issue in deciding how to vote in the in-or-out EU referendum on June 23. Cristina Nicolotti Squires, 5 News editor, said: "This research demonstrates that immigration is a hugely relevant part of British life. "Whilst many people are still uncomfortable talking about the issues, this week on 5 News we’ll investigate the reality, exploring its impact on our towns, communities and services.” The Tory war over Europe intensified yesterday when Mr Johnson tore into his senior party colleagues for the "empty" pledge to control migration in Mr Cameron's attempt to negotiate a new EU membership deal for Britain.

GETTY Priti Patel urged voters to Vote Leave and 'take control of our borders'

The London Mayor said: "We were told repeatedly in the run-up to this negotiation we'd be able to decide only people who had jobs lined up could come here. I can give you the quotes. "It was Theresa, David and George who kept saying it. "But it could never be delivered because of a European Court judgement in 1991. "It ruled that anybody can go anywhere in search of work, that's why we were just told to bog off."

The "leave" campaign is poised to make another surge forward this evening [Monday] when Ukip leader Nigel Farage joins forces with a Euro-sceptic Cabinet minister for the first time. He will speak alongside Tory Commons leader Chris Grayling at a rally in Stoke-on-Trent organised by the Grassroots Out Movement, a cross-party anti-Brussels alliance. Mr Grayling will warn that another surge in Brussels meddling will hit Britain if the country votes to stay in the EU. He is expected to tell the rally: "Things may seem a bit quiet in Brussels at the moment. There don’t seem to be many new laws being brought forward.

GETTY Boris Johnson spoke out against David Cameron and George Osborne