Seiyefa is the most senior official at the SSS after Lawal Daura who was sacked on Tuesday on the orders of Acting President Yemi Osinbajo.
Nigeria's head of the intelligence service has been fired after security services staged a brief "takeover" of parliament in the capital Abuja, at a time when President Muhammadu Buhari is out of the country.
Security operatives comprising men of the Department State Services (DSS) and the Nigerian Police, yesterday blocked all entry or exit from the National Assembly.
However, Idris was said to have turned down the request, saying he already has enough officers on ground manning the National Assembly.
Before his new appointment, he was Daura's deputy, being the most senior director in the DSS.
"The unlawful act, which was done without the knowledge of the presidency, is condemnable and completely unacceptable", said a statement issued later by Osinbajo's office.
Saraki was also expected to meet with Mahmoud Yakubu, chairman of the Independent National Electoral Commission (INEC).
Senator Ben Murray Bruce has alleged that Godswill Akpabio and senators on the platform of the All Progressives Congress (APC) are behind the invasion of the National Assembly by DSS operatives.
He left the Villa at about 5:05 p.m. surrounded by security personnel attached to the presidential Villa.
It is not clear if the meeting scheduled for Tuesday afternoon will still hold after today's turn of events.
He also attended the University of Jos, where he obtained a Bachelor of Law (Honours) Degree in 1982, and was called to bar after attending the Nigeria Law School, Victoria Island Lagos.