President Trump and top administration officials emphasized the necessity of funding the president's proposed wall along the country's southern border on Sunday, as talk of a possible government shutdown ramps up.

Members of the president's administration said they expect the government to remain open — and are skeptical that lawmakers would shut down the government over the proposed construction.

Trump administration officials and GOP lawmakers warned of the consequences of a government shutdown — even as Democrats have come out strongly against passing a bill that would allot funding for the U.S.-Mexico border wall.

Attorney General Jeff Sessions Jefferson (Jeff) Beauregard SessionsTrump's policies on refugees are as simple as ABCs Ocasio-Cortez, Velázquez call for convention to decide Puerto Rico status White House officials voted by show of hands on 2018 family separations: report MORE on Sunday led the Sunday show charge, expressing confidence the border wall would be funded.

"I can't imagine the Democrats would shut down the government over an objection to building a down payment on a wall that can end the lawlessness," Sessions said on ABC's "This Week."

He said he doesn't expect the Mexican government to "appropriate money" for the wall, but added there are ways "we can deal with our trade situation to create the revenue to pay for it."

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"We're going to get it paid for one way or the other," Sessions said on ABC's "This Week" when asked if there is any evidence Mexico will pay for the wall as Trump promised on the campaign trail.

Sessions said the administration's goal is to put an end to illegality and "create a lawful system of immigration where people apply to come here, they wait their turn."

Building a wall along the country's southern border will help the president to fulfill his promise to the American people, he said.

"That's what they want," he said. "And I believe Congress will eventually deliver."

Homeland Security Secretary John Kelly said the president will likely be "insistent" that an upcoming spending bill includes funding for his wall.

"I think it goes without saying that the president has been pretty straightforward about his desire and the need for a border wall," Kelly said on CNN's "State of the Union." "So I would suspect — he'll do the right thing for sure — but I suspect he will be insistent on the funding." White House chief of staff Reince Priebus said he thinks the government can avoid a shutdown and expressed confidence a bill that is "satisfactory" to the president will pass. Progress has already been made "in regard to getting money for border security," he said on NBC's "Meet The Press."

"So I'm pretty confident we're going to get something that's satisfactory to the president," he said, when asked if President Trump will veto the government funding bill if there is no down payment on his proposed border wall included. "It'll be enough in the negotiation for us to move forward with either the construction or the planning or — enough for us to move forward through the end of September to get going on the border wall and border security." Priebus was further pressed on whether the administration would support the funding bill if money isn't designated specifically for the border wall, but instead for border security more broadly.

Lawmakers can avoid a government shutdown if they pass a short-term spending measure to keep the government open while negotiations continue over a broader funding deal and other hot-button issues.

Trump's budget director Mick Mulvaney on Friday suggested that for every $1 of funding for the ObamaCare program, Democrats should agree to $1 of funding for Trump's border wall. But so far, Democrats have rebuffed the offer.

The president on Sunday criticized Democrats, saying they don't want money going to the wall even though it will "stop drugs and very bad MS 13 gang members."

He also expressed confidence he would fulfill his campaign promise to have Mexico pay for the structure.

"Eventually, but at a later date so we can get started early," he tweeted, "Mexico will be paying in some form, for the badly needed border wall."