Senate Majority Leader Mitch McConnell Addison (Mitch) Mitchell McConnellMomentum growing among Republicans for Supreme Court vote before Election Day Trump expects to nominate woman to replace Ginsburg next week Video of Lindsey Graham arguing against nominating a Supreme Court justice in an election year goes viral MORE (R-Ky.) said on Tuesday that he is open to legislation that would prevent future government shutdowns.

"I don't like shutdowns. I don't think they work for anybody and I hope they will be avoided. I'd be open to anything that we could agree on on a bipartisan basis that would make them pretty hard to occur again," McConnell told reporters less than a week after the last partial shutdown ended.

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The Senate GOP leader added that federal funding lapses were an example of "government dysfunction" and they should be "embarrassing."

A growing number of senators say they would support legislation that would prevent future government shutdowns by automatically creating a continuing resolution (CR). But there are competing proposals in the Senate, with Sens. Rob Portman Robert (Rob) Jones PortmanRomney undecided on authorizing subpoenas for GOP Obama-era probes Congress needs to prioritize government digital service delivery House passes B bill to boost Postal Service MORE (R-Ohio) and Mark Warner Mark Robert WarnerIntelligence chief says Congress will get some in-person election security briefings Overnight Defense: Trump hosts Israel, UAE, Bahrain for historic signing l Air Force reveals it secretly built and flew new fighter jet l Coronavirus creates delay in Pentagon research for alternative to 'forever chemicals' House approves bill to secure internet-connected federal devices against cyber threats MORE (D-Va.) both introducing legislation.

Portman's proposal would reduce funding by 1 percent after 120 days and again every subsequent 90 days if lawmakers haven’t reached a deal. Warner's would withhold funding for the legislative branch and the Executive Office of the President in an attempt to motivate lawmakers to negotiate.

Congress faces another deadline to prevent a partial shutdown on Feb. 15. The 35-day funding lapse, which ended on Friday, was the longest in U.S. history and sparked considerable frustration on Capitol Hill.

But the idea of automatically creating a CR ran into backlash from prominent House Democrats on Tuesday.

House Majority Leader Steny Hoyer Steny Hamilton HoyerHouse Democrats postpone vote on marijuana decriminalization bill Democrats scramble on COVID-19 relief amid division, Trump surprise The Hill's Morning Report - Sponsored by The Air Line Pilots Association - Pence lauds Harris as 'experienced debater'; Trump, Biden diverge over debate prep MORE (D-Md.) told reporters that he was "reticent" about legislation that would take Congress out of the decisionmaking process.