In terms of tax reform, Trump said his economic team was developing "historic" tax reform that would cut corporate tax rates and provide "massive tax relief" for the middle class at the same time.
In the address, the Republican set out his plan for the next year.
Sarah Huckabee Sanders, the White House principal deputy press secretary, said she could not confirm Trump's comments in his private luncheon. This is not considered a State of the Union address, since traditionally a president is in office for a year before giving the speech, according to CNN.
The other reason why Trump's teleprompter-assisted relative sobriety in his address to Congress does not quite assuage concerns over immigration is his continuing demonisation of immigrants as criminals and terrorists.
In recent weeks, Trump has expressed openness to revisiting past immigration reform efforts, including the failed 2013 "Gang of Eight" bill, which drew opposition from Republicans. But Trump's speech could change that, said Nebraska GOP Sen. And for those who had wondered, Trump locked into his promise to build a "great, great wall" to keep out the "bad ones". "So I certainly think that we're going to work very hard to make sure Republicans live up to those promises". His plan also includes allowing Americans to buy health insurance across state lines. "Now that doesn't mean you throw those people out in the street, it doesn't mean we go back to the system we had before 2010. We've got real concerns with that so no, I did not hear that, I heard repeal and replace, which is what we all campaigned on".
Hours before he was due to take the stage to deliver his first address to Congress, word leaked that Trump was seriously considering a plan for comprehensive immigration reform.
Sanford, one of Trump's biggest critics, also said he was concerned about Trump's "winsome protectionism" that could prioritize domestic goods ahead of the worldwide products that come in and out of Charleston's port.
He held out the possibility that military spending would increase by even more than the $54 billion already proposed.
"To accomplish our goals at home and overseas, we must restart the engine of the American economy - making it easier for companies to do business in the United States, and much harder for companies to leave", he said in a speech where he attempted to strike a unifying tone and spoke of the 250th year of America's founding, a milestone still nine years away.
Senate Republican leader Mitch McConnell planned to huddle later Wednesday with his 52-member majority in the 100-member Senate to try to reach accord on a plan they all could support.
Emma Loop contributed reporting.