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Cabinet sign-off is required before the $1.2 billion-$1.4 billion project can begin.
The plan sets in place the size and scale of the hospital buildings and the services to be provided.
Mr Hipkins had previously said he believed Cabinet would consider the document before the election, and it was expected it would be on this week’s Cabinet agenda.
A spokesman for Mr Hipkins said he was unable to comment about the business case.