He said the issue was being discussed with the Ministry for Primary Industries.
The company would provide an update on reopening when it could, he said.
Woolworths New Zealand confirmed this photo of a rat, reflected in a mirror in the deli section, was taken at its Dunedin South Countdown supermarket, at 323 Andersons Bay Rd, in November.
New Zealand Food Safety previously said its investigation into the cause and scale of the problem could take several months.
Deputy director-general Vincent Arbuckle said the complexity and need for thoroughness meant it would take time to investigate, so it could be prevented from happening again.
“We are satisfied Woolworths is taking the matter seriously and is putting in place all the right measures at the store to manage the problem, including deep cleaning, maintenance and proactive pest control measures,” Arbuckle said.
“Given the very high level of public interest, we want to see a 24-hour period of no rodent activity, followed by a 48-hour period to determine if the measures have worked before reopening.
“Following reopening, our food compliance officers will monitor the store for a period so that consumers can have confidence food at the store is safe.”