House Majority Leader Kevin McCarthy lamented Saturday the Senate's inability to pass a bill overhauling Obamacare, and placed the blame for its failure to do so on "one or two" senators who want to "hold everything up."

"Leadership has done all the battle going in there," McCarthy, R-Calif., told MSNBC of Senate leadership. "To me, it seems one or two individuals wants to hold everything up, and that's the frustration I've had with the history of the Senate, where one individual can hold everything up."

The Senate revived its attempts to overhaul the 2010 healthcare law earlier this month with legislation from Sens. Bill Cassidy, R-La., and Lindsey Graham, R-S.C. But those efforts collapsed earlier this week when it became clear there was not enough support from Republican senators for the bill to pass.

Republican Sens. Rand Paul of Kentucky, John McCain of Arizona, and Susan Collins of Maine all came out against the Graham-Cassidy proposal ahead of an expected vote, and others were skeptical of it.

Host Hugh Hewitt asked McCarthy if he thought Trump should replace former Health and Human Services Secretary Tom Price, who resigned Friday, with someone such as former Sen. Jon Kyl, R-Ariz., to "bridge the Susan Collins-Rand Paul gap" at the agency.

But the majority leader suggested that the Senate's inability to pass a healthcare bill lies with the senators serving, not with the Department of Health and Human Services.

"Maybe changing someone in the Senate gets it through the Senate," he said. "It just seems to become a difficulty over in the Senate not just with healthcare, with so many other items as well."

"I think they, I would bring the Senate together and not just about healthcare, but start looking at what America needs, and I'd bring maybe an expert in and know how to build a team," he said of a new leader at the agency.