It’s unclear whether even the most vocal critics of the move will risk the ire of the president’s political base by standing up against it.
Congress is voting on sweeping legislation to avert a government shutdown set to start at the end of Friday.
The president nearly blew up negotiations again on Thursday, frustrated by a bipartisan agreement that again failed to provide funding for his signature campaign promise.
The House speaker noted that if the GOP backs the president on an emergency declaration, a future Democratic president could declare an emergency on gun violence.
House Republicans, who had called for harsh punishment for Omar, forced a vote late Wednesday on a more generic measure condemning anti-Semitism. It passed 424-0.
The liberal shift has created challenges for House Speaker Nancy Pelosi and Democrats in more-conservative areas as the party charts a path aimed at taking the White House in two years.
The freshman congresswoman had suggested Israel’s American allies were motivated by money.