"I don't think so. I think the courts have pretty well spoken. We'll be taking a look at whether or not religious liberty needs to be enhanced by statue," the Republican leader told WDRB, a local Kentucky TV station, on Tuesday evening, when asked if there was anything Congress could do to reverse the court's decision.
McConnell added, "What I worry about at this point is the potential problems with regard to religious liberty. … There's a possibility of legislation, but I think most of this is going to be in the courts."
His comments come in the wake of the Supreme Court's ruling that legalized same-sex marriage in all 50 states. 
McConnell's Republican colleagues quickly vowed to try to protect religious freedom in light of last week's decision. 
Sen. Mike LeeMichael (Mike) Shumway LeeGOP senator compares Mueller report's obstruction findings to 'Pinocchio' in 'Shrek 3' Dems sound alarm over top DOJ nominee Restore Pell Grant eligibility to people in prison MORE (R-Utah) vowed to get his legislation, the First Amendment Defense Act, passed. The Utah Republican said the bill would "prevent the federal government from discriminating against anyone who believes that marriage is a union between one man and one woman."  
But McConnell shot down his effort, saying it wouldn't make it through Congress.
"It isn't going to pass. It's one thing to talk about a constitutional amendment," he said. "We've only done that 27 times in the history of our country. It's not going to pass." 
McConnell and Cruz were part of a group of six senators who signed on to an amicus brief calling on the court to protect state bans on same-sex marriage. 
"I've always felt that marriage was between one man and one woman," he said Tuesday night. "The Supreme Court has held otherwise, that's the law of the land."