The city is heading for a high of 16C today and an overnight low of 9C.
As the wind was expected to die out in the evening, there was a "good chance - but not a guarantee - of dry weather for the Bledisloe game", Hines said.
Unfortunately, the calm conditions weren't likely to hang round for long as Sunday brought "a pretty gnarly weather system" from the west to the North Island, Hines said.
This meant extensive rain, particularly for the lower North Island, he said.
"The heaviest and more persistent rain was going to be south of Taranaki. North of that is a little more patchy, but pretty much everyone is getting some rain."
That meant Wellington was expecting a mostly fine Saturday with a top of 15C, before rain and possible heavy falls hit on Sunday with a high of 12C.
He said the other element this low pressure was going throw in the mix was sucking up the cold air from the Southern Ocean and spreading it across the country.
"We are looking at quite a lot of snow on Sunday and on Monday morning."
He said the top of the South Island could also expect snow down to 500m.
The central North Island was also expected to get heavy snow, and the Desert Rd could be affected, Hines said.
Meanwhile, scattered wet weather and a "very cold atmosphere" for all eastern places in the South Island was forecast.
"Extreme care is required travelling throughout the country," Hines said.
Christchurch was expecting a high of 12C today after an overnight low of -1C. Showers would turn to rain tomorrow and snow would fall to 200m, with a high of 7C.