Unvaccinated players are expected to be allowed to compete, but are likely to have restrictions imposed on them in Melbourne.
The 34-year-old voiced his support for such restrictions, explaining that he understands why they would be put in place.
"My understanding is if you're unvaccinated you're still allowed to play, it's just the rules are going to be different," Murray said.
"You might just have to leave [for Australia] a few weeks earlier than everyone else. That's the player's choice. If the local government puts that in place then I would support that.
"It would be great if more players got vaccinated. Australia, in particular, has been very, very strict over there. The public there have had to endure a painful 18 months or whatever.
"If people are going to come into the country and potentially risk an outbreak in their community, yeah, that's understandable."
Murray was beaten in the Indian Wells third round by Alexander Zverev, who admitted he had not been vaccinated in April, on 13 October and the German declined to take a side in the debate.
"I fully respect the decisions of players that are not vaccinated," Zverev said. "I also do respect the decision that the Australian government is giving.
"I don't want to be in the middle of something which I kind of am not involved in because I don't have that issue of the two-week quarantine, all that. I don't want to go against anybody here."