"The system isn't working at the moment and it has got significantly worse since the election," Ms Cooper will say.
The Shadow Home Secretary will mention halving the number of people refused entry, backlogs in finding failed asylum seekers, and a drop in deportations of illegal immigrants.
She will highlight the reduced numbers of foreign prisoners currently being removed, as proof the Tory government is failing to tackle the problem.
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"There have been many, many confidential settlements and that's the reason you don't hear more about this," said Gloria Allred.
Oxbridge is failing to improve its levels of diversity when it comes to the students who attend Oxford and Cambridge university.
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