"I was very happy to receive the news yesterday. It was a relief," the Serbian said after beating Andrey Rublev in the ATP Finals in Turin.
On Tuesday Australian media reported that the government had decided to grant the unvaccinated Serbian a visa, overturning a three-year ban after his ejection from the country.
This year's championship was overshadowed by nine-time Australian Open champion Djokovic being put on a plane on the eve of the contest after a high-stakes legal battle over his visa status.
Australia has lifted the requirement for visitors to show proof of COVID-19 vaccination, and the three-year ban can be overturned at the discretion of Prime Minister Anthony Albanese's centre-left government, which is different to the conservative coalition in power when he was kicked out.
Djokovic was speaking after securing a spot in the semi-finals of the season-ending Finals with a 6-4, 6-1 win over Rublev, his second straight-sets victory in as many matches.
Having beaten Stefanos Tsitsipas in his first Red Group match on Monday, the Serb is guaranteed a spot in the last four regardless of his result on Friday against Daniil Medvedev.