"We're going to have some frosts coming through once all the snow has been dealt with."
Mr Little said the cold snap was unseasonable but not unheard of for November.
The snow would fall down to 400m, MetService said, while WeatherWatch said some flurries could be seen to 300m.
WeatherWatch analyst Aaron Wilkinson said Dunedin was 7C with a cold southerly wind today.
Severe northwest gales were also possible in eastern areas and rain could reach warning levels about the headwaters of the Otago lakes.
MetService warned Fiordland had experienced a period of heavy rain.
Westland was expected to see heavy rain with up to 100mm possibly accumulating in the ranges today.
The cold weather will creep north as the day goes on and overnight.
Auckland is experiencing a high of 20C today, but tomorrow it will drop to 15C with showers and southwesterlies around.
Wellington's high today of 15C will drop to 11C tomorrow and Christchurch's high will also fall to 11C tomorrow.