The store will reopen on Friday if all things go to plan.
"It is clear we have more work to do."
A second person is seriously injured.
Residents said it's a quiet neighbourhood with young families.
Police said they were called to a two-vehicle crash on Oamaru-Alma Road (State Highway 1).
The public can expect to see an increased police presence in the area.
A photo taken in November that emerged on Friday is just a glimpse of what staff said was a rodent infestation.
A spokesperson for the supermarket chain said it had a comprehensive pest management plan in place to deal with the situation.
Emergency services were called after reports the truck rolled into the water.