Key Republican Senators on Monday raised doubts that a rescission bill canceling some government spending would be able to pass the Senate.

“It is counter to the agreement that both houses and both parties and the administration reached, and to try to undo it after it’s just been signed into law strikes me as ill-advised,” said Sen. Susan Collins Susan Margaret CollinsTrump sends mixed signals on Syria amid calls for action GOP senator: Pruitt should face the press Collins: Trump should get credit for China tariffs MORE (R-Maine), referring to a $1.3 trillion spending package passed with bipartisan support in late March.

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House Majority Leader Kevin McCarthy Kevin Owen McCarthySenate GOP skeptical of Trump idea to cancel spending Overnight Finance: Trump digs in against China | Asks officials to consider 0B more in tariffs | Conservatives fear tariffs could kill tax-cut boost | Trump wants Dodd-Frank rollback done 'quickly' | House to vote on balanced budget amendment Democrats cry foul as GOP eyes move to cancel spending MORE (R-Calif.) and President Trump Donald John Trump Airstrikes hit Syria air base: Syrian state media Trump, Macron agree on 'strong, joint response' to alleged Syria chemical attack Trump congratulates Patrick Reed on Masters win MORE have been discussing ways to rescind funds from the spending deal, a process that was once common for narrow spending changes, but has seldom been used to railroad a negotiated, bipartisan agreement.

Collins, a moderate who has in the past bucked her party and the administration, said that reneging on promises made to Democrats “would make it very difficult” to strike future bipartisan deals.

Retiring Sen. Bob Corker Robert (Bob) Phillips CorkerRetiring GOP lawmakers cut loose on Trump More than 100 Tennessee Dems run to challenge state's GOP supermajority Pompeo to get nomination hearing Thursday MORE (R-Tenn.) brushed aside the idea that such a move would succeed.

“This is all a bunch of window dressing, you know that. It’s all for show. As is the balanced budget amendment,” Corker said.

The House this week is expected to vote on a constitutional amendment requiring the government to operate on a balanced budget. It is not expected to pass the high threshold needed to amend the nation’s founding document.

“It just gives cover to people to keep doing the destructive things that we’re doing," Corker said of the measures.

Sen. Richard Shelby Richard Craig ShelbyHouse Republicans grumble about the 'worst process ever' Overnight Finance: Stocks bleed as Trump seeks new tariffs on China | House passes .3T omnibus | Senate delay could risk shutdown | All eyes on Rand Paul | Omnibus winners and losers All eyes on Paul with shutdown looming MORE (R-Ala.), who is expected to take over the chairmanship of the Senate Appropriations Committee, also worried about damaging future relations with Democrats.

“If we agreed to something I want to keep my word,” he said, while keeping the door open to a more narrow rescission bill that didn’t flout the bipartisan spending measure.

Senate Majority Whip John Cornyn John CornynA year in, Trump’s pick makes waves at high court Senate panel requests info on Trump aides for Russia probe GOP ponders how to fill rest of 2018 MORE (R-Texas) and Sen. John Barrasso John Anthony BarrassoSenators risk losing reelection if they fail to address ObamaCare Senators target 'gag clauses' that hide potential savings on prescriptions USPTO needs to be forced to do its job and reject bad patents MORE (R-Wyo.) were careful in their comments, simply saying they wanted to see what kind of bill the House would produce.

Other Republican Senators threw vocal support behind the measure.

“This entire appropriations process is just disgusting, and in some way, shape or form we’ve got to break out of it,” said Sen. Ron Johnson Ronald (Ron) Harold JohnsonGOP senator 'pleased' with Sessions appointment of prosecutor rather than special counsel Sunday shows preview: Trump escalates Cabinet shake-up GOP Sen: Trump 'needs to understand' effect of firing people on Twitter MORE (R-Wis.), who favors changing the Senate rules to eliminate the filibuster for spending bills.

Sen. John Kennedy John Neely KennedyMORE (R-La.) also favored canceling spending.

“I hope it gets legs. I’m embarrassed about the bill we passed,” he said.

When asked about how such a move would affect bipartisanship in the future, he responded: “That’s up to the Democrats. If the Democrats want to support waste and government, that’s their business. I don’t.”