But during an interview with Fox News, White House Chief of Staff John Kelly said he told Democratic lawmakers the president hasn't always been fully informed while promising to build the structure along the entire Mexico border.
As secretary of Homeland Security, Kelly gained the President's approval by channeling the unwavering immigration stance that Trump espoused on the campaign trail, despite offering what appeared to be a more moderate stance during his confirmation hearing a year ago - including downplaying the importance of a border wall.
Trump said on Twitter: "The Wall is the Wall, it has never changed or evolved from the first day I conceived of it".
Rep. Lucille Roybal-Allard, D-Calif., asked Kelly to explain some of Trump's campaign promises to construct a border wall.
And as for Mexico paying for it, he acknowledged the money would not be coming from the Mexican government.
During his election campaign, Mr. Trump insisted that Mexico would pay for the border wall in its entirety, however, Mr. Kelly says they are now looking at alternative ways to raise the needed funds, including possible visa fees or renegotiating the Nafta trade deal. But fellow Republicans swooped in and reminded him that an immigration reform bill should also entail heightened border security, preferably in the form of a wall.
Bipartisan Senate negotiators have come to terms on a deal to protect "dreamers", as young immigrants brought to the US illegally as children are known.
"I've tried to cross so many times that the border guards even got to know me, but I never made it back", he said.
Top Senate Democrat Chuck Schumer said Wednesday there's "very, very strong" sentiment among Democrats in the chamber to oppose GOP-drafted legislation to keep the government's doors open, comments that could indicate the chances are increasing that the government could shut down at midnight Friday night.
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Democratic congressman Luis Gutierrez said told The New York Times that Mr Kelly said "a 50-foot wall from sea to shining sea isn't what we're going to build".
Kelly indicated that the President would want to protect current DACA recipients, and Curbelo said he was "very confident" that the President would accept including a path to citizenship after his meeting.
The border between the United States and Mexico spans about 1,900 miles, of which almost 700 miles are now covered by walls and fences. It will be hard for Republicans to get the bill passed with only GOP votes.
"If they are married, the wife would come in", he said.
While speaking with the Congressional Hispanic Caucus, Kelly said Trump's views on immigration have evolved since his presidential campaign. And he sent word to Capitol Hill, where like-minded Republican lawmakers were summoned with minutes to spare to attend a White House sit-down with the crafters of the deal, who later claimed they were blindsided by the move. He said Trump talked to Sen. "Campaigning to governing are two different things, and this president has been very, very flexible in terms of what's within the realm of the possible".
Many Democrats have said that without an immigration deal in sight, they'll vote against a Republican bill preventing a weekend government shutdown.
The proposal of a stopgap spending measure underscored Washington's ongoing stalemate over the status of the deferred-action program.
Others in the GOP said they want a clear message from the Oval Office.
Speaker Paul Ryan, R-Wis., laid the groundwork Wednesday for attacks on Democrats who vote against the funding plan, arguing that failing to pass the bill would hurt the military as well as beneficiaries of the Children's Health Insurance Program, which the bill would extend.