The House will not take up a measure providing a cost-of-living pay increase for members after Republican lawmakers told Majority Leader Steny Hoyer Steny Hamilton HoyerOn The Money: Anxious Democrats push for vote on COVID-19 aid | Pelosi, Mnuchin ready to restart talks | Weekly jobless claims increase | Senate treads close to shutdown deadline Vulnerable Democrats tell Pelosi COVID-19 compromise 'essential' Anxious Democrats amp up pressure for vote on COVID-19 aid MORE (D-Md.) on Tuesday that they will not support it.

House Minority Leader Kevin McCarthy Kevin Owen McCarthyMcCarthy says there will be a peaceful transition if Biden wins GOP lawmakers distance themselves from Trump comments on transfer of power McCarthy claims protests in Louisville, other cities are 'planned, orchestrated events' MORE (R-Calif.) told Hoyer that the caucus will not back the roughly $4,500 annual cost-of-living adjustment.

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“The House will not consider the legislative branch appropriations bill” that includes the pay raise language this week, Hoyer spokeswoman Mariel Saez told Politico.

Without GOP lawmakers' backing, House Democrats are delaying votes on the annual spending bill that funds Congress; the bill includes language for a congressional pay bump.

Hoyer told reporters Tuesday that some House Republicans still support the cost-of-living increase and that he is currently working to reach a deal with GOP leadership, but added that he has no plans to try to move the appropriations bill in the meantime “because we haven’t resolved the issue.”

The pay raise provision would be almost certainly doomed in the Senate after Majority Leader Mitch McConnell Addison (Mitch) Mitchell McConnellTrump 'no longer angry' at Romney because of Supreme Court stance On The Money: Anxious Democrats push for vote on COVID-19 aid | Pelosi, Mnuchin ready to restart talks | Weekly jobless claims increase | Senate treads close to shutdown deadline The Hill's Campaign Report: Trump faces backlash after not committing to peaceful transition of power MORE (R-Ky.) announced last week he would not back a cost-of-living increase for senators.

McCarthy himself has expressed support for the increase despite McConnell’s opposition, saying last week, “I do not believe Congress should only be a place for millionaires.”

Still, he conceded that McConnell's opposition to the provision makes its passage unlikely.

“Seeing what Leader McConnell has said in his opposition, it does complicate the path for this to become law. I don't want to pre-judge the outcome here for the House, but it could put in doubt that that becomes law,” McCarthy said on Thursday.

Federal law provides annual cost-of-living adjustments for members of Congress unless lawmakers block them, which they have done every year since 2009.

Mike Lillis contributed to this report.