A new Fairfax/Ipsos poll suggests some 65 per cent of those surveyed are "certain" to complete the postal survey, and of those seven out of 10 will tick "yes" in favour of marriage equality.
Australia on Tuesday launched a postal vote on whether to legalize same-sex marriage as a widely watched poll indicated the country would be overwhelmingly in support.
Although the poll - if the majority of people vote in favor - will not have the power to change the law, it could initiate a vote to do so in parliament.
Turnbull, who has said he will be voting in support of same-sex marriage, told a gathering of the Liberal and National parties' faithful on Sunday that the issue was one where everyone is entitled to an opinion. But several lawmakers have said they would vote against gay marriage regardless of public opinion.
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The ballot's unusual format was decided after the election promise of a national plebiscite was rejected twice by parliament's upper house.
But the government is refusing to release a draft bill until after the people decide whether the parliament will consider any bill. "We can win this thing!"
"No" campaign supporters, including hundreds who rallied in Sydney on Saturday, argue that changing marriage laws would infringe on religious freedom and children's rights.
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The postal vote, which offers a yes or no response to the question of whether the law should be changed to allow same-sex couples to marry, was called by Malcolm Turnbull's conservative government.
Asked by the Australian Broadcasting Corporation if there was a lack of leadership in sport regarding social justice issues, like same-sex marriage, he admitted the fact that he owned the NBL gave him more liberty than others.
Two past conservative prime ministers, Tony Abbott and John Howard, have publicly opposed the change.
People will have until November 07 to cast their vote by mail and results of the voluntary poll are expected on November 15.
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