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.
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Classmates and well-wishers have been leaving flowers and messages at a tree on a housing estate in Mansfield.
MPs have paid tribute in the House of Commons to former Lib Dem leader Charles Kennedy, who was found dead at his home earlier this week.
David Cameron has faced the House of Commons for his first Prime Minister's Questions of the new Conservative government.