The original cut-off date was 8 February, but users now have until 15 May to take action.
The firm was criticised for sending the notification, which seemed to suggest changes to the data it would share with its parent company Facebook.
However, the firm said in a statement it had opted to delay the move after hearing “how much confusion there is around our recent update.”
“There’s been a lot of misinformation causing concern and we want to help everyone understand our principles and the facts,” the company said.
WhatsApp said it would move back the date on which people will be asked to review and accept the terms.
“No one will have their account suspended or deleted on 8 February,” it said, adding that the update would be gradually rolled out so that people could review the policy “at their own pace.”
The planned policy update forms part of a new messaging feature for businesses with little actual change to the handling of user data.
Rumours had been circulating that WhatsApp planned to share data with Facebook about user call history and other information.
WhatsApp insists user information including location, messaging and calling remains private.
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