State Senators in Wyoming approved a bill on Thursday that seeks to outlaw the recognition of out-of-state gay marriages, the AP reported.

The 20-10 vote fell mostly along party lines in the Republican-controlled chamber.

The bill, sponsored by Senator Curt Meier, would ask voters to amend the Wyoming Constitution to specify that the state wouldn't recognize the marriages of gay and lesbian couples.

Wyoming bans gay couples from marrying but state law also recognizes any valid marriage performed outside its borders. Social conservatives worry that a legal challenge could use the loophole to legalize gay marriage.

Earlier in the week, a similar bill won approval in the House.

During an initial vote on the House measure, State Representative Frank Peasley, a Republican, argued that the law was needed to reduce government intrusion.

“I think all this is, is an outpost in culture that says, 'Listen, I feel like you're destroying everything else that I have,'” Peasley told lawmakers on the House floor. “You've got involved in the raising of my children, the way I discipline them, the way I feed them, whether or not I can smoke in the car, whether or not I have them properly equipped; you've just gotten into my life so much, let's just let me define the relationship I'm in, OK?”

Republican Governor Matt Mead said Thursday that he does not favor gay marriage, but added that he has reservations about such laws.

“But I also believe that we have to be very careful and pragmatic about how we approach this,” Mead said. “And the reason is that we do not want to, as a state, limit access to our court system.”

Lawmakers are also expected to debate a bill that would place a gay marriage ban in the Wyoming Constitution.