"Good solution, and made in the USA", Trump said Sunday afternoon.
Trump's prime-time address will come amid a partial government shutdown caused by his insistence that Congress give him more than $5 billion to build a wall on the border.
"The senseless uncertainty and chaos of the Trump Shutdown must end, now".
Mr. Trump now says he'll accept "steel slats" instead of a "concrete" wall, although that change doesn't appear acceptable to Democrats.
He has also said he is considering declaring a national emergency so he could bypass US Congress and get the funding.
Smith said declaring a national emergency would be "wide open to court challenges", adding that using the military to build the wall would amount to "a bad use of Department of Defense dollars". Among Senate GOP moderates, Susan Collins of ME expressed support for the Democratic move on Sunday.
Democrats in the House of Representatives plan to starting passing legislation aimed at funding individual agencies that have been shuttered, but the president says he is opposed to a piecemeal approach that does not resolve his demand for a wall. The proposed wall is reportedly going to be made from steel, which Trump told reporters would be "less obtrusive" and "stronger".
A US Border Patrol agent works on the beach preventing migrants from entering San Diego, as seen from Tijuana, Mexico.
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All the while, about 800,000 federal workers remained without pay, either at home or on the job, and key government services faced increasing strain and closure.
The Latest on the government shutdown (all times local): 5 p.m.
Trump also asserted that he could relate to the plight of the hundreds of thousands of federal workers who aren't getting paid, though he acknowledged they will have to "make adjustments" to deal with the shutdown shortfall. "That's why rich, powerful, and successful people build them around their homes".
"We have no choice", he said, warning once more that he may invoke emergency powers to get a wall built without congressional approval.
Pressed about the terrorism claims during an impromptu Rose Garden news conference last week, Department of Homeland Security Secretary Kirstjen Nielsen pointed to another statistic: that more than 3,000 "special interest aliens" have tried to enter the United States through the southern border, suggesting those individuals "have travel patterns that are identified as terrorist travel patterns or they have known or suspected ties to terrorism".
Talks to end the government shutdown - led by Vice President Mike Pence - again ended without a breakthrough on Saturday.
Democrats also took aim at Senate Majority Leader Mitch McConnell, R-Ky., who has been uncharacteristically disengaged from the shutdown talks as Trump has repeatedly shifted course. It's been done a number of times. However, in a statement posted on Twitter earlier on Monday, the president said he would prefer reaching a funding deal with Congress.
Trump contends the wall is needed to stop migrants from illegally crossing into the USA from Mexico, as well as preventing drug trafficking and terrorism.
"If he has to give up a concrete wall, replace it with a steel fence.so that Democrats can say, 'See?" It may have been a tactic created to push Democrats to do a deal but Trump's opponents said such a move would be, in the words of congressman Adam Schiff, a "non-starter", subject to fierce opposition and legal challenges.