Typically bills go through a lengthy process before becoming law, including select committees and submissions.
But Leader of the House Chris Hipkins said they intended to pass it under urgency and within a day, meaning going through all three readings by Wednesday.
Labour, National and the Greens have all signalled their support for the public holiday.
Act and Te Pāti Māori are opposed, though for quite different reasons.
Act leader David Seymour said they would not support the public holiday due to the cost. Te Pāti Māori said they supported more public holidays for workers "but they must reflect Aoteoroa as a Te Tiriti based nation in the South Pacific".
"There is not one single precedent for this for any of our rangatira within Te Ao Māori.
"Not even our own Te Arikinui (Queen), Dame Te Atairangikaahu was honoured in this way."