While several Australian lawmakers have expressed their happiness over his trip, the first by an Indian Prime Minister in nearly three decades, there is speculation that he would be delivering his historic address in Hindi like he has done in the past in other parts of the world.
Labor Senator from Tasmania Lisa Singh said Modi's speech in Hindi would mean he was bringing in respect, culture and strengths of India to Australia.
"Addressing our parliament is incredibly dignified moment. I don't mind which language he addresses our Parliament," she said.
"I think if it gives more respect to Indian diaspora to address them in Hindi then he should do so. He has been doing so in other parts of the world and he is someone who recognises that India is a unique country and for its uniqueness I can understand that he wants to speak in his native tongue," she added.
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She said that on her recent visit to India she felt that there was a new feeling of hope across the country with Modi at the helm.
"He has galvanised India," she said, adding that she was looking forward to meet him when he is here.
Modi is due to address the special joint sitting of the Australian Parliament after he attends G20 leaders' summit on November 15-16.
Other leaders who would also address the special sitting are British Prime Minister David Cameron and Chinese President Xi Jinping.
Rory Medcalf of Sydney-based think-tank Lowy Institute said the news of Modi addressing the Australian Parliament was a welcome sign of how far relations between Australia and India have advanced.