"The employment numbers will be a particularly interesting read and if they get some strong numbers you'll see the kiwi bounce up," said Michael Johnston, a senior dealer at HiFX in Auckland. "It could nudge up to 70 (US cents)" although Johnston said he still expects the kiwi will fall over the medium- to long-term.
Trading was relatively quiet in Monday trading with parts of Asia and Europe closed for the May Day and Labour Day holidays.
Investors are awaiting the Federal Reserve's policy review later this week and a speech from Fed chair Janet Yellen on Friday, ahead of US non-farm payrolls data on Friday in Washington.
New Zealand's two-year swap rate edged up 1 basis point to 2.28 per cent, and 10-year swaps were unchanged at 3.36 per cent.
The kiwi traded at 91.62 Australian cents from 91.63 cents last week ahead of tomorrow's Reserve Bank of Australia policy review and slipped to 4.7231 Chinese yuan from 4.7307 yuan last week in the lead-up to Chinese manufacturing data.
The local currency was little changed at 76.53 yen from 76.58 yen last week and 62.94 euro cents from 63 cents. It traded at 53.10 British pence from 53 pence last week.