"Gisborne and northern Hawkes Bay look most likely to bear the brunt of this system, with warning amounts of rainfall looking likely," Ms Griffiths said.
Gisborne and Bay of Plenty Civil Defence has issued a warning for residents to be prepared.
Gisborne Spokesman Richard Steele said people in coastal areas should take particular care.
"We advise people to be prepared. Make sure they have enough food and water to last for three days, and that they have any medication they need. The key message is to be prepared and be self-reliant."
He said people should be clearing gutters and tying down anything likely to blow away.
"Potentially, there could be significant rain but we cannot yet confirm the figures," Mr Steele said.
Ms Griffiths said the swells could reach 5 to 6 metres on Sunday and rise to 8 metres on Monday.
The Coastguard urged boaties to be prepared and secure their vessels before the worst of the weather sets in.