The Ministry of Health said in this afternoon's Covid-19 update - issued via a statement as there was no press conference - that New Zealand health officials are working with their Australian counterparts to monitor the situation in Perth.
"Passengers flying to New Zealand from other Australian states will be required to complete pre-departure and arrival declarations advising whether they have been in Perth or Peel since 17 April, and whether they have visited any of the current locations of interest".
Mr McGowan said test results are forthcoming after contact tracers uncovered 337 contacts linked to the initial local case.
The Ministry of Health added information for anyone who is in New Zealand and has been in Perth or Peel since April 17.
Before Covid-19 brought New Zealand's tourism industry to its knees, it was the country's biggest export industry, with Australians accounting for about 40% of the worldwide visitors.
All 15 Sydney dock workers who boarded a ship that had COVID-positive crew members aboard have tested negative.
The 54-year-old Victorian man is believed to have been infected at the Mercure Hotel and spent five days out and about in Perth while infectious.
A woman who failed to wear a mask at the Super Rugby game at at HBF Stadium on Friday is the first person to be fined under the lockdown measures.
The bubble, which followed months of negotiations between the largely coronavirus-free neighbours, was hailed as a major milestone in restarting a global travel industry that has been crippled by the Covid-19 pandemic.
New South Wales and the Northern Territory saw the most significant rise in hotel quarantine cases, recording 18 and 13 infections overnight.
Mr McGowan said he remained deeply frustrated Canberra had not supplanted the hotel quarantine framework with permanent facilities and suggested commonwealth facilities at Curtin Air Base near Derby could hold 1500 people and Christmas Island could also be used.
The state's travellers from a quarantine-free bubble between the two countries have been excluded.
Genomic testing has confirmed the virus initially spread in the corridors of the Mercure Hotel from a couple who had returned from India.
"Even if you have not visited one of the locations, if you have symptoms, get tested and self-isolate until you get your result", WA Health said.
"If you have attended a site listed as requiring 14-days quarantine, you must get tested and complete the full 14-days self-quarantine - regardless of your result", WA Health said.
There are no new community Covid cases in New Zealand as health teams begin contacting about 1000 recently arrived passengers on direct flights from Perth.
Australia reported three locally acquired virus cases on Saturday, in WA.
All other people who have been in Perth and Peel should look out for Covid-19 symptoms for 14 days after last being in the locations.