The motion does not specifically mention China or Wuhan but calls for the WHO and World Organisation for Animal Health to investigate the origin of the virus.
Covid-19 is the respiratory disease caused by the coronavirus.
The review would then make recommendations to "improve global pandemic prevention, preparedness, and response capacity".
"This is about collaborating to equip the worldwide community to better prevent or counter the next pandemic and keep our citizens safe", Ms Payne said.
Health Minister Greg Hunt will represent Australia at the virtual World Health Assembly meeting on Monday night.
The full list of countries backing the resolution reportedly includes: Albania, Australia, Bangladesh, Belarus, Bhutan, Botswana, Brazil, Canada, Chile, Colombia, El Salvador, Guatemala, Iceland, India, Indonesia, Japan, Mexico, Monaco, Montenegro, Mozambique, New Zealand, North Macedonia, Norway, Paraguay, Peru, South Korea, Moldova, the Russian Federation, San Marino, Sierra Leone, South Africa, the European Union and its member states, Turkey, Ukraine, the United Kingdom and Zambia.
The four abattoirs' combined exports made up almost a fifth of Australia's beef exports to China.
Australia urged China yesterday to respond to its requests to discuss easing tensions between the two trading partners after Canberra called for an global inquiry into the origins of the coronavirus.
"We've made a request for me to be able to have discussions with my Chinese counterpart", Birmingham said in an interview with ABC Insider.
Simon Birmingham has warned China's "unpredictable" trade interventions may pressure Australian producers to promote to other markets and diversification is to be inspired given the "risk" of trade with China.
However, he said there has been lots of government-to-government communication and work continues through diplomatic levels.
China is Australia's No. 1 trading partner, but Senator Birmingham said it was up to businesses to determine who they sold their goods and services to.
The Australian government in conjunction with the barley industry have submitted a response to refute China's claims that the government subsidises the industry in order to distort the market.
"Our barley that goes to China is largely a product of dry land irrigation, predominantly coming out of Western Australia and the west coast of South Australia".
Relations between Canberra and Beijing have been strained amid Australian accusations of Chinese meddling in domestic affairs and concern about what Australia sees as China's growing influence in the Pacific region.
"Equally I've also said there are other places we can learn from, and we've included Taiwan in that. for us, we take a very pragmatic view".
"Australia has used WTO disputes with other valued partners around the world in recent years".