It supplied about 95 percent of Auckland's total fuel, including all of Auckland International Airport's jet fuel.

The 170km pipeline was shut down for more than 12 hours last Sunday following what turned out to be a false alarm from a leak detection system.

There were already lower supplies following the rupture of the Refining NZ pipeline at Ruakaka in September.

The pipeline had been operating at 80 percent capacity since then and it could be early next year until it is fully restored.

A BP spokeswoman said a small number of BP stations in Auckland and Wellington are affected.

A spokesperson for Z Energy said there were "sporadic and short-term" stock outages across the company's network, but these were being replenished continuously.

The most affected area was the Wellington region, where some sites had been running out of diesel.

"Ground fuel stocks are on the rise and we expect the situation to improve and be back to usual stock levels by Christmas."

Another tanker of diesel arrived in Wellington on Friday night and this fuel was being used to replenish sites in the lower North Island today.

"There's plenty of fuel around at Z, lots of sites still have diesel, those that don't are being replenished with rolling deliveries and there's very little impact on 91."

The logistics challenge in getting more fuel from ports to service stations would result in some service stations running out of some fuel varieties in the short term.

"These shortages will be occasional and won't last long as we work to replenish stocks as soon as possible."