Idris spoke with State House correspondents after a closed door meeting with the acting President Yemi Osinbajo at the Presidential Villa, Abuja.
He said the standoff at the NASS complex reached him as a surprise, adding that the police would soon issue a statement in relation to the impasse. "When I have a detailed picture, we'll make a release about it".
The two security chiefs, who arrived Aso Rock at different times, were to update the acting president on security developments, including the invasion of the National Assembly by security officials.
Masked State Security officers blocked the entrance of the National Assembly today.
The sack is believed to be related to Mr Daura's role in the siege on the National Assembly on Tuesday.
A blockade of Nigeria's parliament on Tuesday by security forces that prevented lawmakers from entering for up to an hour was done without the presidency's knowledge, said the acting president, who sacked the head of the security agency.
The security operatives, however, later allowed the lawmakers access into the complex while journalists and other staff were barred.
The new DSS boss who came to the Presidential villa Abuja, in an SUV vehicle was later chauffeured in a different auto, a Peugeot 508 model with Lagos registration number: AAA 961 BB as he left.
- Malaysia: Indonesia returns yacht at centre of graft probe
- Andy Murray in tears as match ends at 3am
- Israel Seizes Swedish Activist Ship Bound for Gaza Strip
- Billionaire launches bid to completely takeover Arsenal
- SpaceX launches Indonesian satellite and kicks off new round for rocket reusability
- Facebook asks big banks to share customer details
- 'The Bachelorette' Finale: Who Did Becca Kufrin Choose?
- Elon Musk indicates taking Tesla private as he posts 'funding secured' tweet
- Ricciardo to Renault: A good or bad move?
- Donald Trump admits son was getting dirt on Hillary Clinton