The Supreme Court will make its ruling next Monday on an application by 166 men from the Manus Regional Processing Centre.
These men are asking the court to put a stay against their deportation following notices that were issued to them last month.
The application seeking interim orders was moved in court before a three-man Supreme Court bench on Thursday this week.
The 166 men were processed and found to be non-genuine refugees.
They are asking the high court to stop their deportation pending the substantive case which they filed seeking compensation for their illegal detention since 2013 based on the April 26, 2016 Supreme Court decision in the Namah case.
There are 730 applicants in the substantive case. The 730 men on Manus Island are asking the court to order their return either to Australia or a third country.