"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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Patients are being left "belittled and bewildered" as medical staff try to deal with overstretched systems, the BMA will warn.
One tenant confronted the leader of Camden Council as tensions rise in evacuation of Chalcots estate.
The teenager, who cannot be named for legal reasons, is alleged to have attacked the girl in a Manchester park on Saturday evening.