However Air New Zealand said it was planning further cuts to its service because it was still using too much fuel, despite cancelling four transtasman and 14 domestic flights.
The airline warned there would be further disruptions to its domestic jet, regional and transtasman flights. Long haul flights departing Auckland on Monday night would also be making refuelling stops at Pacific or Australian airports.
The Defence Force had been tasked with using the naval tanker HMNZS Endeavour to move diesel fuel from Marsden Point to other parts of the country.
To do this, the Defence Force had cancelled a major exercise in Singapore to save fuel and was providing up to 20 additional tanker drivers to assist local operators.
The Government was also trying to get more tankers on the road which could deliver fuel to Auckland and this included easing regulations around hours of work or weight restrictions.
Collins wanted to reassure passengers who had their travel plans disrupted that they were doing everything they could to get the pipeline fixed, but expected it would take at least a week.
"It's been made very clear to all of those working on this that the Government will commit whatever resources and effort are required to get this sorted out as quickly as possible with a minimum disruption."
The fuel shortage was caused after an oil pipeline running from Marsden Point was damaged in Ruakaka, Northland on Thursday.