Labor will try and bring on a parliamentary vote on same-sex marriage in a bid to bypass a plebiscite and force Coalition MPs to take a stand on the issue.

Opposition frontbencher Terri Butler said she would attempt to bring the cross-party same-sex marriage bill on for further debate and then a vote "soon". This could be within the next few sitting weeks.

However, this would require a majority of MPs in the lower house first agreeing to move to this stage of the process - which is unlikely, given the Coalition's policy of having a plebiscite before a parliamentary vote.

Ms Butler, who holds Kevin Rudd's former seat of Griffith, said recent revelations by some Coalition MPs that they would not be bound by the result of a plebiscite justified her decision.