There is growing pressure for criminal prosecutions to be brought against police officers involved in the Hillsborough disaster.
Home Affairs Committee chairman Keith Vaz has written to Home Secretary Theresa May suggesting that Tom Winsor, the new Chief Inspector of Constabulary, lead an inquiry.
The inquiry would look into the role of police officers, serving and retired, into the cover up.
He has also written letters demanding a further explanation from Sir Norman and urging South Yorkshire's Chief Constable David Crompton to launch his own criminal investigation.
It is expected that the victims' relatives will meet in the coming days to discuss how they take matters further. One of their first steps will be to start the process of overturning the inquest verdicts of accidental death, which is already being considered by the Attorney General, Dominic Grieve.
The families of the Hillsborough victims say the verdicts at the inquest into the deaths of the 96, should be overturned.
Families of Hillsborough victims have met for the first time today since a panel revealed a police cover-up over the tragedy.
The former Sheffield Hallam MP Irvine Patnick has apologised for