This is an idea that we picked up from other jurisdictions, such as the United Kingdom. Initially it will be a pilot project. If we find it to be effective we'll roll it out and apply it on a permanent and broader basis.
The idea is that when an asylum claimant has their claim rejected and they run out of their last recourse, the CBSA will sit down with them immediately and say: You have two options. You can cooperate with us in a removal, and if you qualify for assisted voluntary removal we will pay your travel expenses back home. We will provide you, through the assistance of an agency such as the International Organization for Migration, with some kind of modest re-establishment stipend to help you re-establish an apartment or pay for initial expenses when they get back home. The consequences for you legally will be much less serious if you cooperate in this way. On the other hand, if you choose to go underground and seek to avoid removal, that will be used with prejudice against you if you ever hope to come back to Canada in the future under status. Things will be a lot more difficult.
We have found in other jurisdictions that this approach is very effective. It has a high take-up rate. It makes removals quicker and much more humane, because people are cooperating with their own removal.