Overseas trials found Pfizer's Paxlovid cut the chance of hospitalisation by 89 percent.
In New Zealand, Paxlovid is still going through the Medsafe approval process, while MSD has not yet sought approval for Molnupiravir.
Royal NZ College of GPs medical director Bryan Betty said the approval process must happen as quickly as was safely possible.
"The sooner we have the ducks lined up and approval ... the better off we'll be."
But even if the drugs arrived too late for this outbreak, they would still be invaluable in winter when cases could rise again, he said.
The 120,000 doses on order may not be enough and the Government should consider ordering more, he said.
The Ministry of Health said Pfizer had just submitted more data for approval and it was likely that would be considered by its expert advisory group in mid-February.
If it was then approved, it would be well in advance of the timeline for supply, Betty said.
That was expected to be April.
Paxlovid was approved under emergency use rules in the United States last month.