National and Labour votes combined make up 102 of the 120-seat Parliament.
The TPP has already been ratified and legislation has already been passed, but it related to a deal involving 12 countries, including the United States, which President Donald Trump has withdrawn from.
New legislation would be required to give effect to the deal to TPP11 now being negotiated on the sidelines of Apec.
New Trade Minister David Parker and Foreign Minister Winston Peters are in Danang already for ministerial meetings.
Ardern and the other 10 leaders are due to meet tomorrow evening, NZ time, to determine the deal's fate.
New Zealand is trying to get other countries to agree to drop the Investor-State Dispute Settlement provision in the agreement but they are not likely to get every country to agree.
However Ardern has hinted that lack of agreement from all of them would not be a deal-breaker.
Labour deputy leader Kelvin Davis will be Acting Prime Minister while Ardern and deputy PM Peters are away.
Davis will be answering questions on Ardern's behalf in Parliament today during the first Question Time of the new Parliament.