Seventeen people, 16 Chinese nationals and one Malaysian, tried to escape from the centre in the early hours of Thursday morning.
Two of the detainees in the group, who had all overstayed their visas and were not asylum-seekers, received minor injuries in the incident and are being treated in hospital.
"The department views any escape from its immigration detention facilities very seriously," an Immigration Department spokeswoman told AAP on Friday.
News that makes sense
Your trusted source for staying up-to-date with the world around you. Get free daily news updates and analysis, straight to your inbox.
"(The department) has called for a full investigation and a report from its detention service provider on what occurred."
The incident is the latest in a string of major security breaches including wild riots in April during which asylum-seekers set fire to buildings.
