The first Bledisloe Cup Test will go ahead as planned on August 7 at Eden Park as the Wallabies prepare to cross the Tasman on Friday.
New Zealand Rugby added that it was "confident" that the Wallabies could then stay on for a second Bledisloe Test although a beer festival could scupper hopes of it being held in Wellington on August 14.
The original schedule included Bledisloe Tests in Perth on August 21 and Wellington on August 28 but the NZ government's decision to push pause on the trans-Tasman travel bubble upset those plans.
NZR is working with the government to hand the Wallabies a travel exemption for them to fly on Friday.
"There are some obvious logistical challenges for the Bledisloe Cup series and the Rugby Championship, but we have made some great progress and are confident we are moving toward a positive outcome," NZR's general manager of professional rugby and performance Chris Lendrum said.
"Importantly, we are anticipating Australia will be in New Zealand this week to prepare for the first Bledisloe Cup Test at Eden Park, which is great news for the large number of fans who have already bought tickets and great news for Auckland and Eden Park.
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"We are also confident Australia will be able to remain in New Zealand to play a second Bledisloe Cup Test and we're working through the details of what that match looks like with the intention of locking in the details this week."
The Rugby Championship, which also features South Africa and Argentina, remains up in the air due to the COVID-19 situation.
"There are a lot of moving parts, but together with our SANZAAR partners a lot of people are working incredibly hard to ensure both competitions can progress in a way that's safe and fair, as well as in the best interests of fans and other stakeholders," Lendrum said.
"As always our decisions will continue be guided by the advice of relevant government and health authorities with the health and safety of our people at the forefront of any decisions."
Speaking to reporters earlier on Monday, Wallabies coach Dave Rennie was hoping that the Perth Test could go ahead in front of a bumper crowd on August 21.
"The previous draw suited us we thought but understand there's going to be an issue for the All Blacks if they come to Perth and then going back home, likely with us," Rennie said.
"We understand the game may have to be played on the 14th but if we can't come to an agreement around that, venue and so on, maybe it has to happen after the Rugby Championship."
Sky Stadium is hosting a beer festival, Beervana, on August 13 and 14, making it unfeasible to simply move the Wellington Test forward a fortnight at that venue.