But they have traditionally sent high-level aides to Capitol Hill to hold discussions with larger groups in secure, underground locations.
A senior Trump Administration official said the meeting with senators will take place in the auditorium at the Eisenhower Executive Office Building, the building next to the White House that houses most of the National Security Council.
The auditorium will be temporarily turned into a "sensitive compartmented information facility," or SCIF, which is the term for a room in which sensitive national security information can be shared, the official said.
Such facilities are configured to withstand eavesdropping or other technical snooping.
Aides to Senate Majority Leader Mitch McConnell referred all reporter questions to the White House. Other Senate leadership staffers signalled that most, if not all senators in both parties are expected to attend the White House briefing.
But the unusual location left many staffers scratching their heads.
In recent years during debates surrounding Syria's civil war, terrorist attacks in Europe and the FBI's ongoing investigation into Russian interference in US elections, Cabinet secretaries and senior law enforcement officials have travelled to Capitol Hill to brief lawmakers.
"These briefings are always, always, always done in the SCIF up here," one Senate aide said. "Does it mean classified information is going to be shared in an unsecured setting? Or that we're not hearing about classified material?"
Another senior aide said it was Trump's idea to hold the meeting at the White House.
"I heard this came from Trump himself, that in a nutshell he said, 'why don't we have them up here instead?' " the aide said.
The senior Administration official confirmed that Trump offered the White House complex as a location and McConnell accepted.
Congressional staffers suggested that the briefing's proximity to Trump would make it easy for him to "drop by" and perhaps take over the briefing.
The image of senators meeting Trump at the White House on a top national security concern could be touted by the White House as a key moment in the run-up to Trump's first 100 days in office - a milestone the President has mocked in recent days but that his Administration is working aggressively to promote.
It falls on Sunday NZT.
Trump has sought to strike a tougher tone on North Korea in the wake of Pyongyang's latest weapons tests, which included a failed missile test two weeks ago.
Today, United Nations Ambassador Nikki Haley hosted counterparts from the UN Security Council in Washington to discuss the security situation in Syria and North Korea, and Trump also met with them and posed for a picture with the group, the official said.