On Thursday, the House and Senate adjourned until next week, which means it's too late for either chamber to consider Conyers's bill. But Conyers said Thursday that the cuts should be canceled nonetheless, because Republicans and Democrats are unable to agree on a way to adjust what both parties say is a bad idea.

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"If Congress can't or won't come together to craft bipartisan agreement, I believe we have a duty to avert these catastrophic cuts by any means necessary," Conyers said. "The Cancel the Sequester Act of 2013 would give the leaders of both parties the time needed to reach some consensus on budget issues without forcing the average American to pay the price for Washington's dysfunction."

The Congressional Budget Office says the sequester could lead to 750,000 job losses around the country, but Conyers predicted it would lead to two million lost jobs.

"Cutting two million jobs nationwide and slowing the growth of our gross domestic product by half a percent will barely make a dent in our debt and will result in widespread misery," he said. "It could even throw us back into recession."

President Obama met with congressional leaders Friday morning on the sequester, but most downplayed the chances that this meeting would lead to any quick or easy solution to avoiding the cuts. Republicans have said they oppose the across-the-board nature of the cuts, but have refused to trade the total number of cuts for any increase in taxes.

Democrats, in contrast, have proposed legislation that would raise billions of dollars in new taxes to help offset the cuts.

Reps. Alan GraysonAlan Mark GraysonFlorida's Darren Soto fends off Dem challenge from Alan Grayson Live results: Arizona and Florida hold primaries The Hill's Morning Report: Frustration mounts as Republicans blow up tax message MORE (D-Fla.), Sheila Jackson LeeSheila Jackson LeeHillicon Valley: Murky TikTok deal raises questions about China's role | Twitter investigating automated image previews over apparent algorithmic bias | House approves bill making hacking federal voting systems a crime House approves legislation making hacking voting systems a federal crime Lawmakers press CDC for guidance on celebrating Halloween during pandemic MORE (D-Texas) and Frederica WilsonFrederica Patricia WilsonHarris calls it 'outrageous' Trump downplayed coronavirus House passes bill establishing commission to study racial disparities affecting Black men, boys Florida county official apologizes for social media post invoking Hitler  MORE (D-Fla.) co-sponsored Conyers's bill.