President Trump Donald John TrumpSteele Dossier sub-source was subject of FBI counterintelligence probe Pelosi slams Trump executive order on pre-existing conditions: It 'isn't worth the paper it's signed on' Trump 'no longer angry' at Romney because of Supreme Court stance MORE’s request for $4.5 billion in emergency funding for the border is getting a much-needed jolt of momentum in Congress.

Appropriators are drafting legislation that would provide billions in humanitarian aid for the border, marking the first sign of movement on the issue since funding was yanked from a disaster aid package.

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While it faces plenty of hurdles ahead, the package’s chances of making it to Trump’s desk by the end of the month suddenly look more possible.

“Hopefully the House Democrats will be amenable to working with us to get that done,” said Sen. John Thune John Randolph ThuneSenate passes resolution reaffirming commitment to peaceful transition of power Susan Collins faces political land mine with Supreme Court fight Abortion stirs GOP tensions in Supreme Court fight MORE (S.D.), the No. 2 Senate Republican.

“It should have been in the last supplemental bill, it wasn’t because they objected,” he said, referring to Democrats. “They made it very difficult.”

The Senate appears likely to move first, with Republicans saying they will take up legislation similar to the administration’s $4.5 billion request in the Appropriations Committee next week.

The White House’s request includes $3.3 billion for humanitarian aid, which the administration says would be used to increase shelters and care for unaccompanied minors, in addition to processing arrivals. They’ve also asked for roughly $1.1 billion for other border operations like expanding the number of detention beds and providing more investigation resources.

Republicans are raising pressure on Democrats to back the bill. Republicans will need at least seven Democrats to reach the 60-vote threshold to overcome a filibuster on the Senate floor.

Democratic leaders say the caucus backs providing additional humanitarian aid for the U.S.-Mexico border, including shoring up a Health and Human Services (HHS) office that is responsible for unaccompanied minors detained along the border and on the verge of running out of funding.

Senate Minority Leader Charles Schumer Chuck SchumerPelosi slams Trump executive order on pre-existing conditions: It 'isn't worth the paper it's signed on' 3 reasons why Biden is misreading the politics of court packing Cruz blocks amended resolution honoring Ginsburg over language about her dying wish MORE (D-N.Y.) told reporters during a weekly press conference that humanitarian aid was the “sweet spot” for any deal to be had on Capitol Hill.

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“We want to move a package of that $4.5 [billion], about $3.3, $3.4 is from HHS, the ORR — the Office of Refugee Resettlement. We are all for that,” Schumer said.

But Senate Appropriations Committee ranking member Patrick Leahy Patrick Joseph LeahyBipartisan representatives demand answers on expired surveillance programs Democrats shoot down talk of expanding Supreme Court Battle over timing complicates Democratic shutdown strategy MORE (D-Vt.) says he hasn’t seen proposed language from Senate 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.) or Appropriations Committee Chairman Richard Shelby Richard Craig ShelbySenate to push funding bill vote up against shutdown deadline Senate GOP eyes early exit Dems discussing government funding bill into February MORE (R-Ala.), leaving Democrats in the dark about what bill will be put forward.

Democrats also warn that the White House could throw a curveball into any negotiations, noting the administration has previously been a stumbling block for talks on Capitol Hill.

“The trouble is, their position keeps changing. Most of this border stuff we could have passed weeks ago, but the Republicans kept saying ‘no’ because they kept getting conflicting words from the White House,” Leahy said, asked about when he expects to see language on the border bill.

Thune predicted that a GOP proposal would “certainly start” with a list of items the administration provided lawmakers about what it wants in a package. He added that McConnell discussed the issue with Vice President Pence, who attended Tuesday’s closed-door GOP lunch.

The border money got yanked out of the disaster aid bill after a stalemate over immigration-related provisions including when HHS could share information with the Department of Homeland Security (DHS) about potential sponsors for unaccompanied minors.

Asked how lawmakers can avoid a similar setback, Sen. Dick Durbin Richard (Dick) Joseph DurbinThe Hill's Morning Report - Sponsored by Facebook - Trump previews SCOTUS nominee as 'totally brilliant' Feinstein 'surprised and taken aback' by suggestion she's not up for Supreme Court fight Grand jury charges no officers in Breonna Taylor death MORE (D-Ill.) quipped, “Keep the president out of the Senate Republican caucus lunch.”

Though both sides say they want to pass humanitarian aid for the border, Trump’s proposal included some requests, like Immigration and Customs Enforcement (ICE) funding, that are non-starters for Democrats.

Shelby said his office is still drafting legislation, which he pledged to share with Democrats as soon as it’s finished. He stressed that he wanted a proposal to be “clean” humanitarian aid, which could help avoid a partisan fight.

House Democrats say they’ve been in touch with Republicans and administration officials as they’ve tried to draft a supplemental bill to address the border.

“I am assured that we will soon be moving on a supplemental appropriations bill to address the immediate challenges. Bipartisan, bicameral cooperation will be essential to ensure the badly needed additional funds are provided and used effectively and humanely,” Rep. Lucille Roybal-Allard Lucille Roybal-AllardHispanic Caucus asks for Department of Labor meeting on COVID in meatpacking plants Democrats may bring DHS bill to House floor Texas Democrat proposes legislation requiring masks in federal facilities MORE (D-Calif.), the chair of the House Appropriations’s DHS subcommittee, said during a markup this week.

A House Democratic aide said Wednesday that they had been negotiating “in good faith” with Republicans about humanitarian aid for the border that also protected “the rights and dignity of migrants.”

“We are continuing to have important discussions in our Caucus on this issue, and hope to work with the Senate to complete a bicameral, bipartisan humanitarian supplemental by the July 4 district work period,” the aide added.

But a border package could face a tougher slog in the House, where progressives are wary of supporting anything that could, directly or indirectly, help enforce Trump’s immigration and border policies.

Rep. Joaquin Castro Joaquin CastroPompeo accused of stumping for Trump ahead of election Florida Democrat asks FBI to investigate anti-Semitic, racist disinformation Hispanic Caucus members embark on 'virtual bus tour' with Biden campaign MORE (D-Texas), who chairs the Congressional Hispanic Caucus, said he is still waiting to see the final language for the supplemental, but warned against including provisions that increased the number of detention beds.

“I can just generally say that we want to support humanitarian efforts, but we want to make investments in things that speed up the process,” he said. “What we don’t want to do is to create more permanent ICE beds or even ORR beds, so that’s what we’re watching for.”

Niv Elis and Rafael Bernal contributed.