Read more: Dairy Auction: Prices slip again
"If anything, with the grim mood currently hanging over the dairy sector, reflected in the RBNZ's recently-pared outlook for incomes, such a small dip in prices might almost be perceived as a positive," said Raiko Shareef, currency strategist at Bank of New Zealand.
Data out today locally includes the balance of payments for the first quarter, which may provide more evidence of the impact of weak dairy prices on the nation's trade balance.
The kiwi traded at 62.08 euro cents from 61.94 cents late yesterday as Greek Prime Minister Alexis Tsipras dug in his toes in the standoff with creditors, defying calls to introduce more austerity measures to free up bailout funds as a crucial month-end debt repayment looms.
In a sign of the divide between the heavily indebted nations and creditors, Tsipras reportedly said the International Monetary Fund bears "criminal responsibility" for Greece's debt crisis.
The kiwi traded at 90.08 Australian cents from 90.03 cents yesterday and fell to 86.13 yen from 86.34 yen.
The kiwi was little changed at 44.63 British pence from 44.75 pence.