GETTY A new poll shows that almost two thirds of Brits want a cut in the number of low-skilled migrants

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Sixty two per cent of those questioned want to see fewer in that group given permission to stay, though just 12 per cent want to see the number of high-skilled migrants reduced.

The survey found that overall more than eight out of 10 people think EU citizens already living in the UK should be able to stay, including three quarters of Leave voters and Ukip supporters.

GETTY Eight out of 10 think EU citizens already living in the UK should be allowed to stay

Some MPs last night cited the results as evidence of support for an Australian-style points-based immigration system. UK Independence Party MP Douglas Carswell said: “These poll numbers show what a fair-minded country we are.

GETTY Douglas Carswell said the numbers show what a 'fair-minded' country we are