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Medvedev was defeated by Novak Djokovic in the final of this year's tournament, though the Russian has gone on to enjoy a brilliant season.
He has won four titles, including his first grand slam, beating Djokovic at the US Open in September to end the latter's pursuit of a clean sweep of the four majors in 2021.
Djokovic and Medvedev met again on Sunday, with the world number one coming out on top to clinch his sixth Paris Masters title and a record 37th triumph at ATP 1000 events.
Medvedev had appeared non-committal about being vaccinated against COVID-19, which is likely to be a requirement for any player wishing to compete at the Australian Open, but he dispelled doubts around his involvement when he tweeted on Tuesday: "See you in January @AustralianOpen."
While Medvedev will be involved in Melbourne, the participation of Djokovic – who is a nine-time Australian Open champion – is not yet known.
The Serbian has previously appeared hesitant over the coronavirus vaccine mandate, though he has not revealed whether he has been vaccinated or not.
Australia has enforced strict measures throughout the pandemic, with Melbourne having been under lockdown on six occasions since March 2020. Indeed, the city only lifted its most recent restrictions towards the end of October.
Athletes arriving in Australia prior to last year's event had to go through a mandatory two-week hotel quarantine.
Despite Australia's vaccination programme gaining momentum, travellers who are not citizens must be able to provide proof of vaccination and a negative PCR test result, while quarantine regulations vary depending on state rules.
Tennis Australia is reportedly still hopeful of securing a deal for unvaccinated players to compete in the tournament, subject to a two-week quarantine, with prime minister Scott Morrison suggesting players could be granted an exemption.
On Tuesday, though, Victorian premier Daniel Andrews insisted players will have to be vaccinated.
"I'm not going to have people sitting in the grandstands having done the right thing, only to have millionaire players that ought [to] be vaccinated running around the place being essentially at such higher risk of spreading this – getting it and giving it," he said.
Speaking last month, Djokovic said: "I don't know if I'm going to Australia, I don't know what's going on. Currently, the situation is not good at all.
"Of course, I want to go, Australia is my most successful grand slam, I want to participate, I love this sport, I still have motivation."