Infrastructure Minister Shane Jones and chairman of Crown Infrastructure Partners Ltd Mark Binns both said they hope for resumption of works nationally on sites by Thursday next week.
Tens of thousands of workers in New Zealand's construction and infrastructure sectors could return later next week if the level 4 alert status is reduced to level 3, according to them.
Minister Shane Jones hopes for a quick resumption of work: "The mātua is hoping for a mega-comeback," he said.
Annual infrastructure works are worth $40b, residential at $13b and commercial at $7.5b.
"The state can't keep running everything. We don't want to be in an economic coma. We need to jump-start the economy as fast as possible."
The Infrastructure Minister says he received numerous calls from trades and construction sector people, pleading to return: "They are insisting they can operate safely on level 3 alert."
Cabinet is to decide on Monday when to move from level 4 to level 3 and the Prime Minister has just named construction as operating again once level 3 is introduced.