He is expected to acknowledge that Britain needs to reduce the numbers of low-skilled migrants coming to the country to work.
At a party political broadcast tonight, Mr Miliband will admit that Labour got it wrong the last time they were in power.
He will insist that although immigration is "good for Britain", migration should work for all the country's people, and not just a small minority.
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The Pope's comments follow a failed missile test by North Korea and condemnation of that test by US president Donald Trump.