Adern told a press conference that New Zealand was "ahead of schedule." The country has not reported any new cases for 11 days in a row.
She said that, while previous advice modeling had assumed there would be a "persistent and potentially longer tail of cases" as the country moved to "level two," risking further spread, so far a tail or spike in cases had not occurred.
New Zealand's cabinet will review the alert level settings earlier than planned, on June 8, Ardern said, adding "if and only if there are no further unexpected cases over the coming days, then we could be in a position to move to alert level one that week."
According to New Zealand's Ministry of Health, there is one active case of coronavirus nationwide.
According to Johns Hopkins University, New Zealand has had 1,504 confirmed cases and 22 deaths.
Arden said she will provide further details of alert level one this week, and said that the last remaining restrictions on physical distancing and restrictions on mass gatherings would be removed, though strict border controls would remain to prevent new infections arriving from overseas.
Alert level one means there would be no restrictions on domestic transport, no restrictions on gathering, and all schools and workplaces would open.
"Our strategy of going hard and early has paid off, and in some cases beyond expectation and what modeling and data had predicted."
"Moving to level one so soon, we will be one of the first countries in the world to... return to this level of normality so quickly," Ardern said.
In April, New Zealand said it had "eliminated" the virus as case numbers stayed in single figures.
New Zealand's lockdown timetable
The first case of coronavirus was confirmed in New Zealand on February 28 -- more than a month after the United States confirmed its first infection.
On March 14, when the country