“I don’t think it’s really an appropriate topic for Congress to be passing a national law on,” said Sen. John Cornyn of Texas, a member of McConnell’s leadership team.

“That wouldn’t be my priority out of the gate,” said Sen. Josh Hawley, Republican of Missouri. “I think it would be better for states to debate this, allow it to breathe and for Congress to act where there’s national consensus.”

Sen. John Barrasso of Wyoming, the No. 3 Senate GOP leader, noted that the leaked draft Supreme Court ruling focused on allowing states to regulate abortion.

“I want to see the states have that opportunity and the authority to do so,” Barrasso said when asked about legislating on the federal level.