The world is awaiting a decision on tennis star Novak Djokovic's visa, with Immigration Minister Alex Hawke under increasing pressure to make a call.

Djokovic was included in the Australian Open draw yesterday after no decision to allow or cancel his visa was forthcoming.

Mr Hawke has the power to order Djokovic to be deported, after a court ruled that the men's world number one was allowed to stay in Australia.

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Djokovic had previously been detained by the Australian Border Force on his arrival in Melbourne last week, on the grounds that he did not qualify for a medical exemption from COVID-19 vaccine requirements.

Independent Tasmania Senator Jacqui Lambie this morning called for an end to the long wait.

"Why does this keep dripping out of the tap? Why hasn't the minister done anything about this?" Senator Lambie said on Today.

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"If he's going to do him on character, because they believe that his submission has been lied on, then, you know, this is what we do when our kids play up at school. They get sent home.

"So maybe it's about time to stop this debacle, finish it once and for all without the tap keep dripping and make up your mind."

She asked why Immigration Minister Alex Hawke was "missing in action".

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"If you can't make a decision on Novak Djokovic, goodness me, how are you guys running the country? This is an absolute shambles," she said.

"Let alone what it's making us look like to the rest of the world. It's absolutely a shocker."

Former Australian tennis star Sam Groth said the Djokovic situation was frustrating his fellow players.

"A lot of the players made the decision to get vaccinated, whether they wanted to or didn't, to be able to come and play in the Australian Open," he told Today.

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"A lot of the players who made that decision just to be able to come down to Melbourne Park feel like it is one rule for Novak and one rule for everyone else."

The Border Force is investigating whether Djokovic provided false information on his travel declaration.

The saga initially sparked a massive outcry in Djokovic's native Serbia, with his family leading rallies in the streets, while in Melbourne, crowds gathered outside the hotel Djokovic was temporarily confined to over the weekend.

But that ardour has cooled somewhat after Djokovic admitted to breaking COVID-19 isolation rules in Serbia, an offence which could reportedly net him prison time.