Sir Denis O'Connor, outgoing HM Chief Inspector of Constabulary, will give evidence on Olympics security.
Stephen Greenhalgh, Deputy Mayor of London for Policing and Crime, will give evidence on policing in London.
Metropolitan Police Commissioner Bernard Hogan-Howe has also been asked to give oral evidence.
More top news
Those wear face veils in public are liable to a £664 fine and a suspension of social benefits.
The extent of last winter's floods has been revealed after a survey by the Local Government Association
Jackie Walker, vice-chair of the pro-Corbyn group Momentum, was suspended over comments shown on a leaked video.