David Cameron said "it may well be time" to change the law and make failing to report child abuse a criminal offence.
His comment comes after the NSPCC chief executive Peter Wanless said not mentioning abuse in order to save an organisation's reputation should be a crime.
Mr Cameron said at Prime Minister's Questions: "The Government is currently looking at that [changing the law] and of course both reviews will be able to examine this particular point and advise us accordingly. I think it may well be time to take that step forward."
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Ms Saward was the first person to waive her right to anonymity when she was raped at the age of 21 and became a sexual violence campaigner.