But Democrats do not appear moved by the president's message.
Mr. Pence said there is also agreement with Democrats on spending $675 million for "non-intrusive" inspection technology to search vehicles for drugs, weapons and other illegal materials. The only change made after this weekend's border security talks were that Trump has backed off plans for a concrete wall and is now talking about erecting steel barriers at the border.
But Democrats, who now control the House of Representatives, seem in no mood to make concessions on a border wall Pelosi has described as an "immorality".
And with Trump's threat that he might declare a national emergency in order to grab military funding to build the wall, Democrats have even less incentive to negotiate with him.
The two sides of the partial federal government shutdown remained far apart on Monday, as day 17 of the closure rolled on after a weekend of fruitless meetings between the White House and Democratic representatives in Congress.
"If the Democrats want to keep their impeachment talk - where we know there is no collusion, where we've been transparent and cooperative in the process - that's a losing strategy for them", Schlapp said on "America's Newsroom" Monday.
On Sunday news shows, acting White House chief of staff Mick Mulvaney argued that Trump has given ground by agreeing to back away from his insistence on an opaque, solid wall.
The White House did not provide details of Trump's trip, but the planned visit will likely highlight security concerns pushed by the administration as justification for the wall.
"The barrier, or the wall, can be of steel instead of concrete, if that helps people".
"That should help us move in the right direction", he said.
Pence told reporters that the president has made no decision on whether to declare a national emergency.
The White House did not say whether he planned to make such a declaration, which would nearly certainly face a legal challenge, on Tuesday night. "The president has asked every single Cabinet secretary and the Office of Management and Budget to go out and find money that can be used legally to guard the southern border, which is exactly what we're going to do".
Speaker of the House Nancy Pelosi put out a statement on Saturday afternoon, which claimed Democrats would take up immediate action to open up the government in the House.
"[Democrats] don't like concrete, so we'll give them steel".
The moves are meant to pressure Senate Republicans now sitting out the fight, as leader Mitch McConnell seeks to avoid political damage.
Trump, who did not attend the discussions, spent the morning tweeting about border security.
Asked about the ability of government workers to pay their bills, President Trump said Sunday that he expected federal workers would be able to "adjust" financially, as he expressed confidence that they supported his drive for border security. He said Trump had painted himself into a corner and needs to "figure out how he unpaints himself from that corner". A day earlier, the president had tweeted that he didn't care, adding that "most of the workers not getting paid are Democrats".