McConnell made the comments to about 50 people during a tour of Hardin Memorial Hospital in Elizabethtown, Ky.
"If you thought it was a good idea for the federal government to go in this direction, I'd say the odds are still on your side," McConnell continued according to The Associated Press. "Because it's a lot harder to undo something than it is to stop it in the first place."
The Senate minority leader's comments came a few days after the Supreme Court ruled the law was constitutional, including the so-called "individual mandate" rule law in the legislation. Republicans, including McConnell, were quick to continue to criticize the law after the ruling was announced.
Also, in response to the ruling, McConnell also said that if he became majority leader he would use a procedural option called reconciliation to try and repeal the law.
Since the ruling, Republicans have also been urging state governors to not implement the provisions of the healthcare reform law.
"By refusing to create an exchange, you will assist us in Congress to repeal this violation which will help lower the costs of doing business in your state," the lawmakers, led by Sen. Jim DeMint (R-S.C.) and Rep. Michele Bachmann (R-Minn.), wrote to governors.