Nurses had already confirmed they would stop work in mid-May, which the New Zealand Nurses Organisation (NZNO) union said would have given staff a 1.38 percent wage increase.
That led to a last-minute revised pay offer from district health boards (DHBs).
The new deal is being voted on by the 30,000 members of the NZNO, with the ballot closing at 1pm.
If it is declined, the nurses will strike on Wednesday.
Union organisers said a plan had been put in place to ensure life-preserving services would still be staffed.
Glenda Alexander from the Nurses Organisation told Tim Dower the payrise they've been offered is less than inflation and some nurses are paid under the living wage.
"They're pretty frustrated by it all. They just really want to be paid for the value of their work, and they want to get on to a good job, and do that with a good workload as well."
Waikato DHB nurses have also refused a formal request to call off the strike, while the DHB still grapples with the effects of a cyber-attack.
with tex by RNZ
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