Democratic pollster Celinda Lake told Hill.TV on Monday that the American public is "giving up" on the idea of President Trump Donald John TrumpOmar fires back at Trump over rally remarks: 'This is my country' Pelosi: Trump hurrying to fill SCOTUS seat so he can repeal ObamaCare Trump mocks Biden appearance, mask use ahead of first debate MORE's long-promised border wall.

"The public is giving up on the wall," Lake, president of Lake Research Partners, told host Jamal Simmons on "What America's Thinking."

Lake was referring to a new Hill-HarrisX poll, which shows 69 percent of registered voters saying they wanted Republicans on Capitol Hill to move on from the border wall fight.

Thirty-one percent said Republicans should keep pushing for more funding.

"The really interesting number is that 40 percent of Republicans who say get on with other things," she continued.

"The other thing that I think is really interesting is there isn't a single demographic group that supports the wall or that as a priority," she said. "It's truly driven just by very strong conservatives."

Immigration has become a hot-button issue in Washington in recent months.

Trump declared a state of emergency on the U.S. southern border last month, and pressed Democrats on Monday to work with Republicans to address U.S. asylum laws quickly.

The president sought to take action on immigration last week, threatening to shut down the U.S. border with Mexico, and directing the State Department to halt aid to El Salvador, Guatemala and Honduras.

— Julia Manchester