Novak Djokovic has admitted to "errors" in his travel papers and in his behaviour after a claimed coronavirus infection as he battles to stay in Australia and fight for a record 21st Grand Slam.

The world number one said his team had offered fresh information to the Australian government, which is pondering whether to cancel his visa, again and throw him out of the country.

"We are living in challenging times in a global pandemic and sometimes these mistakes can occur," the 34-year-old said in a statement released as he practiced on the courts of the Australian Open, which starts on Monday.

The Serbian star flew into Melbourne a week ago claiming a vaccine exemption because of a positive PCR test result on 16 December.

Border agents rejected his exemption, saying a recent infection did not qualify, tore up his visa and placed him in a detention centre.

But Mr Djokovic's legal team overturned the visa decision in court on Monday on a procedural matter related to his airport interview.

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Now, Immigration Minister Alex Hawke says he is considering cancelling the visa another time, as fresh doubts emerge.

Mr Djokovic, a nine-time Australian Open champion, described reports about his post-infection outings in Serbia as "misinformation".

Novak Djokovic

On the day after his positive test in Serbia, Mr Djokovic appeared at a youth tennis event and at a ceremony to honour him with stamps bearing his image, both apparently without a mask.

Mr Djokovic, who made no mention of the stamp ceremony, said he only received the PCR test result after attending the children's tennis event.

But he admitted that he also went ahead with an interview and photoshoot with French sports newspaper L'Equipe on 18 December.

"I felt obliged to go ahead and conduct the L'Equipe interview as I didn't want to let the journalist down, but did ensure I socially distanced and wore a mask except when my photograph was being taken," he said.

"On reflection, this was an error of judgement and I accept that I should have rescheduled this commitment."

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The tennis ace also admitted a mistake on his Australian travel declaration, in which a box was ticked indicating that he would not travel in the 14 days before taking his flight to Melbourne.

In fact, social media posts and reports show he flew from Serbia to Spain during that period.

"This was submitted by my support team on my behalf - as I told immigration officials on my arrival," Mr Djokovic said.

"My agent sincerely apologises for the administrative mistake in ticking the incorrect box about my previous travel before coming to Australia. This was a human error and certainly not deliberate."

Mr Djokovic's public statement appeared to be aimed at swaying the government to let him stay in Australia.

Leading immigration lawyer Christopher Levingston said the government could cancel Djokovic's visa on narrow criminal grounds, for example, because the travel declaration was incorrectly completed.

But the immigration minister may also annul the visa on broader character grounds.

If Djokovic knowingly dodged Serbia's quarantine requirement for positive cases, he could be judged to be a risk for potentially not complying with public health orders while in Australia, Mr Levingston said.

Various options to appeal would be open for both Mr Djokovic and the government, but at the end of the day, the immigration minister can exercise his personal power to cancel the visa.

Renata Voracova

Meanwhile, the Women's Tennis Association has said that doubles player Renata Voracova, who was deported despite having having received a medical exemption from vaccination, had been treated unfairly.

Voracova, who said she was unable to get vaccinated after a reaction to contracting the virus, had played in a tournament in Melbourne before the controversy over Djokovic's arrival appeared to prompt a fresh examination of her visa.

She was questioned for six hours by immigration officials before being put on a flight back to the Czech Republic.

"The complications experienced over the past few days where athletes have followed the approved and authorized process of receiving a medical exemption for entry into the country are unfortunate," said the WTA.

"Renata Voracova followed these rules and procedures, was cleared for entry upon her arrival, competed in an event and then suddenly had her visa cancelled when she had done nothing wrong.

"We will continue to work with all authorities on addressing this unfortunate situation in an appropriate manner."