If Congress doesn't make a deal, Mr. Trump said "it would be very surprising" if he didn't declare such a national emergency.
"Time for President [Trump] to use emergency powers to build wall/barrier", Graham said via Twitter on Thursday. Declaring a national emergency, the president explained, frees up a "tremendous" amount of funds.
Mr. Trump's insistence on billions of dollars in funding to keep a signature campaign promise - and Democrats' insistence to fund the government without wall funding - mean the partial government shutdown is poised to be the longest government shutdown in US history.
"I cautioned him that if President Trump directs DoD to circumvent Congress in such a legally dubious way on such a major issue, Congress will have to reevaluate its relationship with the department and judge whether each instance of broad flexibility granted to the Department is worth the risk of abuse by President Trump", Durbin said in a statement.
Trump said his planned trip later this month to the World Economic Forum in Davos, Switzerland is "still on", but if the partial government shutdown is still going he "won't go".
Timberwolves 'rallying around' new head coach Ryan Saunders
It's already been a whirlwind of a season thanks to Sunday's firing of Thibodeau and the Jimmy Butler trade on November 12. However, Thibodeau was a driving force in bringing the Timberwolves back the playoffs after a 13-year dry spell.
The White House has said Trump would veto the bills if they made it to his desk.
Talks with Democrats stalled Wednesday after House Speaker Nancy Pelosi told the President she would not support building a barrier structure on the US-Mexico border. To that end, White House officials in recent days have pointed to remarks by Schumer during the Obama administration endorsing lawmakers' allocation of funds for border fencing.
Sitting among border patrol officers, state and local officials and military representatives, Trump insisted he was "winning" the shutdown fight and criticized Democrats for asserting he was manufacturing a sense of crisis in order to declare an emergency.
Democrats, the president exclaimed, "don't give a damn" about crime, or people coming into the country and stabbing Americans. On Wednesday, eight House Republicans publicly bucked the president and joined with Democrats in voting for bills that would reopen the government without financing the wall. "The reality is thousands of federal employees and contractors have no paycheck in sight, small businesses that rely on them are suffering and there's no reason they should be held hostage to a political dispute". The President hasn't been blamed in any of the previous shutdowns.
"If this doesn't work out, I probably will do it, I would nearly say definitely", Mr. Trump told reporters, adding later, "If we don't make a deal, I would say 100 percent but I don't want to say 100 percent".
Trump says undocumented immigrants and illegal drugs are streaming across the border, despite statistics that show illegal immigration there is at a 20-year low and that many drug shipments likely are smuggled through legal ports of entry.