"That was a suggestion that Lindsey made, but I did reject it. I am not interested," Trump told reporters on the South Lawn ahead of his departure to New Orleans.
The president has hinted that he could declare a national emergency in order to secure funds to build a wall along the border with Mexico, though he has said he would prefer to reach a deal with Congress on the matter.
In his remarks to reporters on Monday, Trump said he wants to get the shutdown resolved because the crisis on the border remains crucial. He insisted, however, that Democrats must admit that the United States needs border security and agree to compromise.
On Monday, the government shutdown entered day 24 without an agreement on a spending bill. Trump has requested more than $5 billion for the construction of the wall on the border with Mexico. Democrats believe the project would be a waste of time and should not be executed at the expense of American taxpayers.