Sen. Lamar AlexanderAndrew (Lamar) Lamar AlexanderOvernight Health Care: Trump health chief backs CDC research on gun violence | GOP negotiators meet on ObamaCare market fix | Groups sue over cuts to teen pregnancy program GOP negotiators meet on ObamaCare market fix 30 million people will experience eating disorders — the CDC needs to help MORE (R-Tenn.) said Monday that Majority Leader Harry ReidHarry Mason ReidWATCH: There is no Trump-Russia collusion and the media should stop pushing this The demise of debate in Congress ‘North by Northwest,’ the Carter Page remake MORE's (D-Nev.) success in blocking minority amendments to legislation is destroying the Senate, and called on Reid to act like some of the more successful majority leaders over the last few decades.

"By his actions, the majority leader is destroying the Senate, which was once described as the one touch of authentic genius in the American political system," Alexander said on the Senate floor.

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"The Senate has become a Tuesday-Thursday club, run by one senator and orchestrated by the White House," he added.

Alexander was reacting to Reid's decision to limit amendments to a bill extending emergency unemployment benefits. Reid has said he could allow some "relevant" amendments to the bill, but as of Monday afternoon, there was no deal on which GOP proposals might be considered on how to pay for the extension.

Last week, Reid said he wouldn't allow any amendments at all, which led Alexander and others to say the Senate has become a body that only passes ideas that Reid supports.

"The majority leader's actions go to the very heart of our government," Alexander said. "Tennesseans didn't send me to Washington to rubber stamp the majority leader's ideas, not this majority leader, not any majority leader."

Alexander also recommended that Reid model his leadership on prior majority leaders of both parties in who were known for working with the minority party.

"The current majority leader, I would respectfully suggest, could start by following the example of Majority Leaders Robert Byrd, the Democrat, and Howard Baker, the Republican," he said. "They were not afraid — those majority leaders — to allow amendments. They were not afraid to defeat amendments."

Alexander predicted that if Reid were to work more cooperatively with Republicans, he wouldn't have to work so hard fighting off GOP proposals that he doesn't support. "Almost all of the effort to keep bills from coming to the floor has to do with minority members not being allowed to have the say of the people who elected them to serve," he said.

Senate Minority Leader Mitch McConnellAddison (Mitch) Mitchell McConnellLawmakers feel pressure on guns Bipartisan group of House lawmakers urge action on Export-Import Bank nominees Curbelo Dem rival lashes out over immigration failure MORE (R-Ky.) and Sen. Chuck GrassleyCharles (Chuck) Ernest GrassleyPavlich: The claim Trump let the mentally ill get guns is a lie Congress fails miserably: For Asian-Americans, immigration proposals are personal attacks Grassley, Dems step up battle over judicial nominees MORE (R-Iowa) made similar complaints about Reid's leadership earlier today. Alexander was followed immediately by Sen. Orrin HatchOrrin Grant HatchOvernight Finance: NAFTA defenders dig in | Tech pushes Treasury to fight EU on taxes | AT&T faces setback in merger trial | Dems make new case against Trump tax law | Trump fuels fight over gas tax What sort of senator will Mitt Romney be? Not a backbencher, even day one Lawmaker interest in NAFTA intensifies amid Trump moves MORE (R-Utah), who agreed that Reid's actions are hurting the Senate.

"Every leader has tried to protect their side, but this has gone to the point of ridiculousness and the denigration of the Senate itself," he said.