Push for another inquiry into gay marriage

Labor and the Greens haven't given up on the quest to legalise gay marriage, vowing to initiate another Senate inquiry into the issue.

A team of senators and crossbenchers including Derryn Hinch have teamed up to seek support for an inquiry into marriage equality and the government's exposure draft bill to amend the Marriage Act.

"This issue will never die," Labor senator Louise Pratt told reporters in Canberra on Tuesday.

The inquiry would examine whether the bill is adequate, not whether parliament should legalise gay marriage.