A local monkeypox case is likely but a big outbreak is not, and some older people might already have immunity, a public health expert says.
Monkeypox has been spreading in North America, Europe and Australia.
"It's quite likely we will see an imported case at some stage," Professor Michael Baker said.
He said the disease had now been recorded in at least 18 countries where it was not endemic, and case numbers earlier today numbered 237 outside Africa.
"We expect those numbers to grow, just because it's got a long incubation period," the University of Otago epidemiologist added.
Incubation - from infection to symptoms - usually lasted one week to a fortnight but could be as long as three weeks.
Monkeypox was not a highly-transmissible disease, and required close contact to spread, Baker said.
A chance event appeared to have brought monkeypox out of Africa, and there was evidence it was spreading mostly between men who had sex with men, he said.
"You don't have to vaccinate the whole population," Baker added.
But he said good case identification and contact tracing would help prevent any outbreak growing.
Baker said New Zealanders need not worry about a major monkeypox outbreak but health officials should be conducting risk assessments and trying to understand the virus.
Some surveillance at airports could be useful, he said.
A person arriving from a country with monkeypox cases and sporting a rash resembling chicken pox would probably have to be isolated and tested.
The US Centres for Disease Control and Prevention said in humans, monkeypox symptoms were similar to but milder than smallpox symptoms.
Infected people might have fevers, headaches, muscle aches, and exhaustion.
Scotland's first monkeypox patient was in hospital yesterday, the BBC reported.
According to US News & World Report, most current reported cases in non-endemic countries were in Spain, Portugal and the United Kingdom.
"We certainly have to be prepared for the scenario because it has been in other Western countries," Associate Minister of Health Ayesha Verrall said on Monday.
Monkeypox lesions were distinctive but the disease could incubate undetected at first.
"There is an antiviral developed but most monkeypox cases in the world recover without treatment, to be honest," Verrall told the Herald.