Djokovic's lawyers have reached a hearing in a Melbourne court on Monday after the Serb's visa was annulled by customs.
He is now forced to stay supervised in a quarantine hotel until the hearing in court.
Djokovic arrived in Melbourne on Wednesday.
Inrikesministern Karen Andrews har bekräftat att australiska gränsmyndigheter undersöker visumhandlingarna för två andra spelare som ansökt om samma undantag som Djokovic och betonar att Djokovic har full frihet – om han skulle vilja lämna landet.
– Herr Djokovic hålls inte fången i Australien. Han kan lämna när han vill om han väljer att göra så och gränsstyrkan kommer faktiskt att underlätta det, säger hon enligt ABC News.
Enligt Reuters har även en tredje spelare anlänt till Australien med ett medicinskt undantag bekräftat av Australiska tennisförbundet och delstaten Victoria, dit Melbourne tillhör.
Spelarfacket: ”Djokovic har försäkrat sitt välbefinnande”
In addition, there will be medical exemptions approved for people coming to Australia next week.
According to Australian Open competition leader Craig Tiley, who is also chairman of the Australian Tennis Association, 26 applications have been received for medical exemptions and a "handful" must have been approved.
Djokovic had had his application approved by the state of Victoria and the Australian Open before it became big politics.
The Australian government trumped the state's decision.
The professional players' union, PTPA, has been in contact with Djokovic, who has not spoken since he landed in Melbourne.
- Djokovic has assured his well-being for us.
He has also asked that we let him share his experiences for the time he will be in custody when it eventually suits, says PTPA in a statement.
Protesters both for and against Djokovic have gathered outside his hotel, which has strong police surveillance at the entrance.