A Greens bill to recognise internationally sanctioned same-sex marriages will be debated in the Senate this week, although their marriage equality bill has not gone to a vote in the House of Representatives.

Greens senator Sarah Hanson-Young said on Sunday her bill would be voted on in the Senate on Thursday.

Bringing the bill: Sarah Hanson-Young. Credit:Peter Braig

''This is the last chance for a move towards marriage equality before the September election,'' Senator Hanson-Young said.

''The majority of Australians know that gay and lesbian Australians shouldn't be forced to leave their marriage certificates at the customs gate.

''It's time the Parliament recognised that too.

''It's a final chance for MPs from all sides to openly support equality and vote with their consciences on this common-sense legislation.''

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