Young opener Prithvi Shaw is recovering quickly from his ankle injury and might return at the Boxing Day Test in Melbourne, said India coach Ravi Shastri on Wednesday.
The Black Caps were also scheduled to travel to Australia for an ODI series but the fixture was on Friday postponed to next summer (2021-22) due to the pandemic.
Both Cricket Australia and England & Wales Cricket Board have felt the strain after the pandemic brought all cricket activities to a grinding halt.
Cricket Australia has commissioned an independent review into the cause and circumstances of last year's death of Test batsman Phillip Hughes in a bid to prevent anything similar happening in the future.
India captain Virat Kohli left Australian shores on Tuesday with a message for his teammates as they aim to bounce back after the debacle in the opening Test in Adelaide.
Jadeja, who suffered a concussion during the first T20 international, also sustained a hamstring injury which ruled him out of the first Test.
Former Australia captain Ian Chappell has advocated a review of on-field safety measures in cricket, saying it would be a good idea to "strengthen any law" that can protect tailenders when they face short-pitched bowling.
Swashbuckling Australia opener David Warner intends to play in the 13th IPL if it happens this season, his manager said on Thursday, even as the COVID-19 pandemic continued to wreak havoc on the world.
Former Australia captain Mark Taylor resigned from Cricket Australia's (CA) board of directors on Monday, as the fallout from a scathing review into the governing body's culture claimed another victim.
Cricket is "insignificant" compared to the bushfires raging in his country at the moment, Australia captain Aaron Finch said on Friday, hoping to bring smiles on the faces of those affected by the tragedy, with good performances against India. The bushfires have shocked the world and prompted an outpouring of support from celebrities, athletes and leaders around the world.
The ECB said in a joint statement with CSA on Monday that the decision to postpone the tour was over concerns about the 'physical and mental wellbeing' of the touring party.