Fear-mongering from the Australian Christian Lobby on a program that aims to make schools more inclusive for young LGBTI people must stop, the Australian Greens say.

"The idea that simply by talking about differences in sexuality and gender identity, you're going to ‘recruit' young people is completely ridiculous. Supporting young people in speaking openly about these issues encourages tolerance and creates more happy and safe school environments," Greens sexuality spokesperson, Senator Robert Simms said.

Prime Minister Malcolm Turnbull should listen to his electorate and the broader community and grant a free vote on marriage equality in the Parliament this week, the Australian Greens say, after a new poll shows a plebiscite is supported by only 9.6 % of voters in Wentworth.

"The spectacle of LNP members tying themselves in knots over the last week has really exposed the plebiscite as an expensive and divisive sham," Australian Greens marriage equality spokesperson Senator Robert Simms said.

"The Prime Minister doesn't believe in a plebiscite and neither do his electors.

The Australian Greens say it is time for Prime Minister Malcolm Turnbull to stand up to Tony Abbott and dump the costly and divisive plebiscite on marriage equality. The Prime Minister this morning admitted he doesn't support a plebiscite and is only doing it to appease his predecessor and conservatives in the Government.

"This issue is too important to be left to the mercy of Liberal Party games," Greens Marriage Equality spokesperson Senator Robert Simms said.

Malcolm Turnbull should dump the plebiscite on marriage equality and grant a free vote in the Parliament as soon as possible, following news that LNP Senator Bridget McKenzie also intends to ignore the result of the plebiscite, say the Australian Greens.

"In the last 24 hours the plebiscite has been exposed as a total sham," the Greens Marriage Equality spokesperson, Senator Robert Simms, said.

The Greens are calling for Prime Minister Malcolm Turnbull to allow a free vote on marriage equality when Parliament resumes, following reports that conservative MPs plan to ignore the result of a plebiscite on the matter.

"It's ironic that Eric Abetz doesn't want a conscience vote on the issue of marriage equality but when it comes to implementing the outcome of any plebiscite that's a different story. He wants some sort of veto power if he doesn't like the outcome," The Greens spokesperson on Marriage Equality, Senator Robert Simms, said.

Media reports that a gay man is being prevented from donating life-saving bone marrow, highlight the urgent need for the TGA to review the suite of restrictions imposed on gay men in Australia say the Greens.

"Last year I wrote to the Human Rights Commissioner, Tim Wilson regarding restrictions imposed on men who have sex with men donating blood and asking him to investigate the matter," the Greens Sexuality Spokesperson, Senator Robert Simms, said.