Ofsted chief executive Sir Michael Wilshaw will criticise state schools for failing to provide competitive sport.
More than 40% of Team GB in London 2012 attended private school, compared to just 7% of the general population.
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Thousands of people have linked hands on Westminster Bridge in a show of solidarity - one week after the terror attack in the capital.
PC Keith Palmer, 48, stabbed by Khalid Masood while on duty in the grounds of the Palace of Westminster last Wednesday.
Engineering firm CH2M won the £170 million contract but have pulled out of phase two of the project over alleged conflicts of interest.