The U.S. Senate will take its first steps toward repealing President Barack Obama's signature health care reform act by the end of the week, Republican Senate Majority Leader Mitch McConnell said on Sunday.

Speaking on CBS's "Face the Nation," McConnell said: "There ought not to be a great gap" between repealing the act and replacing it and that Republicans would be "replacing it rapidly after repealing it."

McConnell did not define what he meant by "rapidly." Another top Republican, House Majority Whip Steve Scalise, told Fox News that it could take two years to fully replace the Affordable Care Act, popularly known as Obamacare.