Sen. Charles SchumerCharles (Chuck) Ellis SchumerJuan Williams: The politics of impeachment Texas Republicans slam White House over disaster relief request Dem rep: Trump disaster aid request is 'how you let America down again' MORE (D-N.Y.) on Tuesday offered a proposal to fix what he admitted is a Senate that is failing to legislate.

"On both sides of the aisle, there's a great deal of consternation that we're not legislating," Schumer said on the Senate floor. "We've had this problem for a while, and Thursday it came to a head, there were some harsh words that were issued by some."

Schumer was referring to Thursday's blowup between Republicans and Democrats after Majority Leader Harry ReidHarry ReidVirginia was a wave election, but without real change, the tide will turn again Top Lobbyists 2017: Grass roots Boehner confronted Reid after criticism from Senate floor MORE (D-Nev.) said he would not allow any amendments to a bill extending emergency unemployment benefits.

Schumer suggested that the two parties find a way to embrace the traditional roles of Senate majorities and minorities in order to allow the Senate to function again. He said involves ensuring that the minority is allowed to offer amendments, and the majority is allowed to get an up or down vote on legislation once the amendment process is over.

"Certainly, the minority should get to offer amendments," Schumer said. He said there are details within that statement that need to be worked out, such as whether the minority should be allowed to offer unlimited, non-germane amendments.

"But other side is that the majority should be able, once the amendments are disposed of, to get an up or down vote on the final passage of the bill," he added. "If friends of the other side of the aisle say, 'I want to offer my amendment, but unless it passes, I am going to vote to block the bill from coming up for an up or down vote,' that doesn't seem right."

Schumer said Democrats are expected to discuss ways to unclog the Senate at their caucus lunch Tuesday, and said his impression was that Senate Republicans would be discussing the same issue.