Trump's reference to a military operation could raise eyebrows among immigrant rights advocates and even within the Department of Homeland Security (DHS).
Federal immigration policy is enforced by several divisions inside DHS, including Customs and Border Patrol and Immigration and Customs Enforcement, and the military has no role.
A leaked DHS proposal last week to deploy Army National Guard troops to help catch undocumented immigrants was quickly denied by DHS leadership and the White House as under consideration. The unions representing border patrol agents and officers have regularly denounced the use of military personnel.
"I do not believe the National Guard to be a good idea," said Brandon Judd, president of the National Border Patrol Council. "We're just setting ourselves up for too much liability with people who have not been trained to do the jobs."
Trump was presumably referring to a series of enforcement actions carried out by ICE (Immigration and Customs Enforcement) two weeks ago that rounded up 683 immigrants purportedly in the country illegally.
Similar raids were carried out during the Obama administration and the department downplayed the significance of the number in a February 13 news release.
"ICE conducts these kind of targeted enforcement operations regularly and has for many years," DHS said.
But immigrant rights advocates have said the directives contained in a pair of memos from Kelly this week would dramatically expand the pool of immigrants who would be targeted for deportations, broadening it well beyond the hardened criminals and new arrivals that had been the priorities under the Obama administration.
Trump portrayed the immigrants targeted as criminals.
"They're rough and they're tough, but they're not tough like our people, so we're getting them out," Trump said.