"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.
More top news
Leader Paul Nuttall is confirmed as UKIP's candidate to contest Stoke Central by-election following Labour MP Tristram Hunt's departure.
Alexander Downer said Australia would seek better access before reaching a post-Brexit trade agreement with the UK.
Emergency crews have rescued 11 survivors from Hotel Rigopiano, which was buried when the avalanche struck Wednesday afternoon.