The $1.2 trillion package could face challenges in the House, especially from conservative hard-liners who have said they would vote against any Senate changes to what the House already passed. Many House Democrats are also wary of stopgap funding for DHS, which would keep ICE and Border Patrol funded at current levels without immediate new restrictions.

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If the Trump-blessed deal ultimately gets signed into law, Congress will have approved more than 95 percent of federal funding — leaving only a full-year DHS bill on its to-do list. Congress has already funded several agencies, including the departments of Agriculture, Veterans Affairs and Justice.

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Republicans agreeing to strip out the full-year DHS bill and replace it with a two-week patch is a major win for Democrats. They quickly unified behind a demand to split off and renegotiate immigration enforcement funding after federal agents deployed to Minnesota fatally shot 37-year-old U.S. citizen Alex Pretti last week.

Senate Minority Leader Chuck Schumer, who helped negotiate the final deal, took a victory lap after the vote, saying “the agreement we reached today did exactly what Democrats wanted.”

But Democrats will still need to negotiate with the White House and congressional Republicans about what, if any, policy changes they are willing to codify into law as part of a long-term bill. Republicans are open to some changes, including requiring independent investigations. But they’ve already dismissed some of Democrats’ main demands, including requiring judicial warrants for immigration arrests.

“I want my Republican colleagues to listen closely: Senate Democrats will not support a DHS bill unless it reins in ICE and ends the violence,” Schumer said. “We will know soon enough if your colleagues understand the stakes.”

Republicans have demands of their own, and many believe the most likely outcome is that another DHS patch will be needed.

Sen. Lindsey Graham (R-S.C.), for instance, wants a future vote on legislation barring federal funding for cities that don’t comply with federal immigration laws. Other Republicans and the White House have pointed to it as a key issue in the upcoming negotiations.

“I am demanding that my solution to fixing sanctuary cities at least have a vote. You’re going to put ideas on the floor to make ICE better? I want to put an idea on the floor to get to the root cause of the problem,” Graham said.