According to Politico, senior White House officials gathered on Sunday to figure out the details of the president's decision.
CNN also reports that the program for "Dreams" will have a six-month delay, meaning it won't end immediately.
According to the Associated Press, the people familiar with Trump's decision spoke on condition of anonymity because they aren't authorized to discuss the decision ahead of a planned Tuesday announcement.
Trump could always change his mind.
He has been wrestling for months with what to do with the DACA program, which has given hundreds of thousands of young people a reprieve from deportation and work permits.
Trump's expected to delay the formal dismantling of the program to give Congress time to decide whether it wants to address the status of the so-called Dreamers in legislation.
Ending DACA was one of Trump's campaign promises, but once in office he said Dreamers shouldn't be worried about the possibility of facing deportation.