Pala'amo Kalati was killed when a container fell and crushed him while he was working on an overnight shift.
Tony Gibson will finish up at the end of June.
It's been rough seas for the vital facility.
"They literally have blood on their hands," Shane Te Pou told Newshub.
Workers at the Ports of Auckland say they fear they could die on the job.
"It's probably about the only time in the world I'll ever agree with Shane Jones."
The author of a previous report says taxpayers should demand their money back.
The debate will be the centre of tomorrow's cabinet committee discussion.