Follow CBSDFW.COM: Facebook | Twitter

AUSTIN (CBSDFW.COM/AP) — Gov. Greg Abbott is publicly getting behind a religious objections bill that is moving fast after the U.S. Supreme Court heard historic arguments over gay marriage.

READ MORE: Mesquite Police Investigating Murder Of Teen Initially Believed To Be Motor Accident

Abbott tweeted Wednesday that he hopes to receive a Republican-backed measure that would allow clergy members to refuse officiating marriages that violate their beliefs:

This marks the first time Abbott has publicly backed one of a number of proposals that opponents consider anti-gay. The bill was filed in the Senate on the same day last week that the Supreme Court heard the landmark gay marriage case.

READ MORE: 2 Dead In Dallas After Apparent Murder-Suicide

The bill, otherwise known as the “Preservation of Sovereignty and Marriage Act,” says no state or local funds could be used to “license, register, certify or support” gay marriage. It would also prohibit officials from recognizing, granting or enforcing gay marriage licenses.

Texas has a similar ban that was approved by voters in 2005.

MORE NEWS: Dallas County Sheriff's Department Investigating Fatal Pedestrian Accident On I-30

(©2015 CBS Local Media, a division of CBS Radio Inc. All Rights Reserved. This material may not be published, broadcast, rewritten, or redistributed. The Associated Press contributed to this report.)