Speaker Nancy Pelosi Nancy PelosiPelosi: Trump hurrying to fill SCOTUS seat so he can repeal ObamaCare House lawmakers reach deal to avert shutdown Centrist Democrats 'strongly considering' discharge petition on GOP PPP bill MORE (D-Calif.) said Wednesday that the House would not take up proposed Senate legislation to rein in national emergency powers, a bill put forward as part of an effort to give Republicans cover to side with President Trump Donald John TrumpOmar fires back at Trump over rally remarks: 'This is my country' Pelosi: Trump hurrying to fill SCOTUS seat so he can repeal ObamaCare Trump mocks Biden appearance, mask use ahead of first debate MORE on the border wall.

GOP senators are in talks with the White House about changing the National Emergencies Act, the 1976 law that Trump invoked to declare his national emergency to direct extra funding to build a wall along the U.S.-Mexico border. That would give Senate Republicans uncomfortable with the national emergency room to avoid defying Trump.

Pelosi sought to make clear that wouldn't fly with House Democrats, issuing her statement on the eve of the expected Senate vote on a resolution disapproving of Trump's emergency declaration. The House passed that resolution late last month.

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"Republican Senators are proposing new legislation to allow the President to violate the Constitution just this once in order to give themselves cover," Pelosi said in a statement. "The House will not take up this legislation to give President Trump a pass."

Four GOP senators have indicated they will vote with all 47 Democrats for a House-passed resolution of disapproval blocking Trump's emergency declaration: Sens. Thom Tillis Thomas (Thom) Roland TillisThe Hill's Campaign Report: GOP set to ask SCOTUS to limit mail-in voting OVERNIGHT ENERGY: EPA head questions connection of climate change to natural disasters | Pebble Mine executives eye future expansion in recorded conversations | EPA questions science linking widely used pesticide to brain damage in children Liberal super PAC launches ads targeting vulnerable GOP senators over SCOTUS fight MORE (N.C.), Rand Paul Randal (Rand) Howard PaulSecond GOP senator to quarantine after exposure to coronavirus GOP senator to quarantine after coronavirus exposure The Hill's Morning Report - Sponsored by National Industries for the Blind - Trump seeks to flip 'Rage' narrative; Dems block COVID-19 bill MORE (Ky.), Susan Collins Susan Margaret CollinsSenate GOP aims to confirm Trump court pick by Oct. 29: report The Hill's Campaign Report: GOP set to ask SCOTUS to limit mail-in voting Senate GOP sees early Supreme Court vote as political booster shot MORE (Maine) and Lisa Murkowski Lisa Ann MurkowskiSenate GOP aims to confirm Trump court pick by Oct. 29: report Senate GOP sees early Supreme Court vote as political booster shot Pence defends Trump's 'obligation' to nominate new Supreme Court justice MORE (Alaska).

Vice President Pence discussed a potential offer with GOP senators on Tuesday of Trump signing legislation to curb his national emergency powers if senators defeat the resolution of disapproval to spare him the first veto of his presidency. But so far Trump has made no such pledges.

It's also unclear when such legislation could reach the Senate floor, given that the chamber is scheduled to be on recess next week.