The objective of the address will be to promote his planned border wall between the United States and Mexico, characterize the issue of border security as a national security crisis and convince enough Americans to change their views on the subject that Trump can end the government shutdown by receiving border wall funding.
Meanwhile, US television networks, which agreed to Trump's request for a prime-time telecast of his speech after some deliberation, have also consented to air Democrats' response to the address after a fervid debate on whether the President would get away with lies and disinformation.
Mr Trump did not use his televised speech to declare a national emergency.
While there has been an increase in children and families crossing the border seeking asylum in recent months, the rate of apprehensions of undocumented immigrants at the U.S. -Mexico border is actually much lower than it has been in recent history, as Vox's Dara Lind explained.
Media captionFive questions about Trump's border wall What did President Trump say?
Mr. Dallek said Republican senators had reached a bipartisan deal to fund the government before Mr. Trump triggered the shutdown.
He said his administration has given Congress a "tremendous" proposal to secure the border, developed by law enforcement professionals and border agents. About a quarter of USA agencies have been shut down since last month and hundreds of thousands of government workers are likely to miss pay checks this week.
But the president added he wants to try to negotiate an end to the partial government shutdown that includes funding for the wall. Vice-President Mike Pence was scheduled to meet with Republican lawmakers later on Tuesday, before Trump's speech.
Trump is expected to make the case for the planned wall along the southern border of the United States. Some say Trump's hardline policies are slowing processing for migrants, creating an overwhelming bottleneck at the border.
In fact, a study by the libertarian Cato Institute a year ago found that crime rates among immigrants in Texas - both legal and unauthorized - were lower than those among native-born Americans. There were almost 400,000 apprehensions at the border in the 2018 fiscal year, well down from the early 2000s when arrests regularly topped one million annually.
The number of people arrested trying to cross the border has dropped 75 per cent since its high in 2000.
"Now that the television networks have chose to air the President's address, which if his past statements are any indication will be full of malice and misinformation, Democrats must immediately be given equal airtime", their statement read.
House speaker Nancy Pelosi and Senate Democratic leader Chuck Schumer spoke after the president to address their concerns.
"The president was asked whether it [the national emergency option] is something he was considering, and he said it is something we are looking at...."
"We don't think that's the American way", Hoyer told reporters on Tuesday.
He will follow up with a rare trip to the Mexico border itself on Thursday.
The unexpected length of the shutdown has raised the prospect that Trump would begin to lose support among Republicans anxious to reopen the government and doubtful of the White House strategy.
A National Park Service ranger looks out onto the city from Trump International Hotel's historic clock tower, which remains open and staffed by the National Park Service despite the partial government shutdown. With federal employees set to miss their first full paycheck on Friday, a prolonged shutdown could soon impact American businesses. The shutdown, which has left some 800,000 government workers furloughed or working without pay, is also affecting national parks, airline security screening, housing and food aid, and economic data. But recent years have seen an uptick in asylum seekers fleeing Honduras and other Central American countries and arriving at the US border.
"This barrier is absolutely critical to border security". But he made no mention of such a declaration on Wednesday.
Trump made his promise for a wall a signature issue in his 2016 White House run. The Trump administration's claims that there is some sort of terrorism risk from the border have been debunked.