Also to remain in their posts temporarily will be the interim administrator of the Drug Enforcement Administration, Chuck Rosenberg, Obama's special envoy for the fight against the Islamic State, Brett McGurk, and the director of the National Counterterrorism Centre, Nicholas Rasmussen.
Another official who will remain in his post is Adam Szubin, who is in charge of terrorism and financial intelligence policy at the Department of the Treasury.
Trump arrived on Thursday in Washington to begin the series of events leading to his inauguration which will take place on Friday at a ceremony in front of the Capitol.
Spicer said that the magnate is continuing to work on his inauguration speech, which he said will be "a very personal and sincere statement about his vision for the country" and "more of a philosophical document" than an agenda for his moves as President.
The incoming White House spokesman did not provide any details about the executive orders that Trump was intending to sign on Friday after his inauguration.
However, he did say that executive orders on the Trans-Pacific Partnership and North America Free Trade Agreement trade treaties will be signed "very quickly".
On the other hand, Spicer said that, for the moment, there are no foreign leaders scheduled to visit the White House next week, Trump's first week as President.
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