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The Ukip boss said a vote to retain our ties with Brussels could lead to “open borders” for citizens of Turkey, which has a population of more than 75million.

He believes the Out camp in the Referendum could clinch Britain’s exit from the EU if it targets voters on the issue of winning back “control of our borders”.

Mr Farage was speaking at the campaign conference The Good Life After Brexit: How Britain Will Be Safer Leaving The EU.

He said: “I am sure that if we say yes to staying in the EU it will mean that Bosnia will apply to join.

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“And Turkey will look to join in 2021.

“It will mean that the numbers coming to Britain will go up, not go down. So what we need to do is get Britain back control of our borders.”

He believes the key to winning the referendum, where people will be asked whether they want to leave the EU, was to “shift” undecided voters on the migrant issue.

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He claims that there are “whole classes” who benefit from EU membership, identifying: “Employers who hire workers on minimum wages; the wealthy who hire chauffeurs and gardeners.”

Former Tory minister Liam Fox also hit out at US president Barack Obama, who has urged Britain to stay in the EU.

He said: “The president has a right to say that but we will accept that only if America accepts an open border with Mexico.”

Vote Leave’s Matthew Elliot said the Out camp needs to “paint a picture” that there “will be more jobs outside the EU”.