PNG's health minister Jelta Wong told Reuters: "If China sends it down we will receive it."
"We have not opened our borders as yet and we won't open until we are sure we have protocols in place," Wong said.
PNG, with one confirmed case of COVID-19, tests at a local medical institute using two machines donated by Australia, he said.
"We only have aid coming from Australia," said Wong.
The Solomon Islands, which switched diplomatic recognition from Taiwan to Beijing last year, said it received $300,000 from China and was advised by the Chinese embassy in Honiara to buy equipment from the Beijing Genomics Institution.
The office of Solomon Islands Prime Minister Manasseh Sogavare said it was trying to charter a flight from French Polynesia to China to return with medical supplies.
The Chinese embassy had also organised for a ship from Guangdong to carry several thousand face masks and protective suits donated by Guangdong province.
The secretary of Kiribati's ministry of health and medical services, Kaaro Neeti, told Reuters the island was unable to test for COVID-19 but a Chinese donation "is in the pipeline".
China has also offered test kits and medical supplies to Vanuatu, Tonga and French Polynesia.
McGregor, from the Lowy Institute, said China's capacity to organise a teleconference for health officials from 10 Pacific nations on March 10 with Chinese medical experts in Beijing was "astounding" and the Australian government would be concerned its aid effort was being surpassed by China.
"If they are sending much-needed equipment it is a good thing, but it also has a geopolitical aspect."
Australia will redirect its existing aid budget for the Pacific to focus on COVID-19, and keep essential aid workers in Pacific countries, an official said.
At a G20 leaders videoconference last week, Australian Prime Minister Scott Morrison urged other nations to contribute to the Pacific.
China’s Foreign Ministry didn’t immediately respond to questions.
