The plans are aimed at finding a way of managing sensitive evidence from the security services.
The Daily Mail reports that Mr Clegg said their concerns "cannot be allowed to ride roughshod over the principles of open justice".
The newspaper also said Mr Clegg said the powers to take evidence in secret should not apply to inquests and that judges rather than ministers should decide when the measures are used in a small number of civil cases expected to be affected
The Government is to go ahead with changes that would allow more trials to be held behind closed doors after opposition from MPs
The Government has set out plans to hold more trials and inquests behind closed doors in order to protect sensitive information. Why?