"House Democrats, like the American people, support 21st Century border security", Jeffries said.
The White House views Trump's offer as a test of whether Democratic leaders can hold their members together in opposition, said a person familiar with White House thinking who was not authorized to speak publicly. "And we are moving forward".
The message came in contrast to one White House Press Secretary Sarah Sanders gave Wednesday morning when she Fox News: "The President will talk to the American people on January 29 as he does nearly every single day".
"That's a great blotch on the incredible country that we all love", Mr Trump shot back, calling it a "very, very negative part of history".
With their new proposal, Democratic Rep. Jim Clyburn of SC suggested the price tag of the new plan could reach the $5.7 billion Trump wants on border security - but it would be spent differently.
"The House of Representatives should override Speaker Pelosi's obstruction and vote to allow the President's State of the Union to go on as planned".
Although Pelosi cited practical difficulties caused by the shutdown, the White House sees her move as part of a game of one-upmanship. As we have said multiple times, McConnell needs to do his job without a note from the principal.er, president.
Mr Trump is demanding $5.7bn (£4.4bn) of congressional funding to build a wall on the US-Mexico border, but newly empowered Democrats have refused.
North Carolina's House speaker, Tim Moore, invited Trump to deliver the speech in the North Carolina House chamber. "I agreed", Mr Trump tweeted.
FAA: Increase in "sick leave" causing flight delays, including Newark
Flights were delayed to several other major airports across the U.S. , including the Newark Liberty International Airport. Baltimore/Washington International Thurgood Marshall Airport had the second-longest wait time, of 19 minutes.
The California Democrat told Trump in a letter Wednesday the Democratic-controlled House won't pass the required measure for him to give the nationally televised speech from the House floor. She also suggested that he deliver the speech to Congress in written form.
"I am writing to inform you that the House of Representatives will not consider a concurrent resolution authorising the President's State of the Union address in the House Chamber until government has opened".
It came after Ms Pelosi served notice earlier on Wednesday that Mr Trump will not be allowed to deliver the address to a joint session of Congress next week.
Trump brushed aside security concerns. No cop should have to work without pay to protect a "national security event" speech.
Responding to questions, she appeared to be against Trump holding a rally somewhere else in the country instead of the State of the Union.
"The United States Secret Service and the Department of Homeland Security, who would have jurisdiction over whether or not the Capitol is safe for the president to visit, have addressed those concerns", Sanders said.
As a shutdown that has left 800,000 federal workers without pay hit its 33rd day, Pelosi effectively disinvited Trump from delivering the annual State of the Union address in the House chamber until the government is fully opened.
House Sergeant at Arms Paul Irving said staff at the Capitol are on "stand-by" for preparations.
Dueling letters on Wednesday were the latest in a political rift between the two leaders about the shutdown, caused by a stark disagreement on funding for Trump's wall on the southern border with Mexico.