The South Island, on the other hand, should have mostly dry weather as a ridge of high pressure moves across the island.
Glassey said, "mostly fine weather is forecast over the South Island until Monday, with only isolated showers for northern and eastern parts."
That could change next week as a low-pressure system brings rain and wind.
A low will move over the country from the Tasman Sea, bringing wet and windy weather for the start of the week.
The low should move east, pulling cold air from the south over the South Island.
More snow could fall in inland parts of the island, but not as low as this week.
It comes as wintery conditions lasted into spring, with snow falling in Dunedin and Christchurch on Monday and Tuesday.
Snow fell on the mountain passes across the South Island, as well as in Hawke's Bay.
On Tuesday, Auckland recorded its coldest night of the year, as NIWA measured a 1.8C temperature at Western Springs.
While some lament a lingering winter, Glassey said, "Changeable weather is typical of spring and fluctuations in temperature are expected.
"It is not uncommon to get warm, settled weather followed by cold outbreaks at this time of year," he said.
