The state Supreme Court on Tuesday said their legal arguments in the case should be submitted by July 22. No hearing has been scheduled.
Two Santa Fe men filed a lawsuit last week asking the court to order Santa Fe County Clerk Geraldine Salazar to issue them a marriage license.
The lawsuit contends that denying marriage licenses to same-sex couples violates the New Mexico Constitution, including its Equal Rights Amendment prohibiting gender-based discrimination.
Attorney General Gary King’s office said in a non-binding legal analysis last month that gay marriage isn’t allowed in New Mexico but the statutory prohibition may violate the constitution’s equal protection clause.