But it has been beset by problems, including a battery fire that grounded the model for months this year and forced Boeing to come up with a new battery design.
According to Stockholm's Arlanda Airport website, the plane is expected to arrive in Sweden at 1200 GMT on Wednesday—Christmas Day.
"We are very sorry about the delay and we understand that this is a very frustrating time for the passengers,'' Skaanvik said.
(Read more: Cuts in air service stifling midsize cities)
Norwegian Air, Europe's third-biggest budget airline after Ryanair and EasyJet, launched long-haul operations this year and hoped to capitalize on the Dreamliner's lower operating costs.
But during the autumn its first two Dreamliners broke down more than half a dozen times, forcing it to lease back-up planes at short notice or cancel flights. Since then the airline has added a third Dreamliner to its fleet.
Last week Norwegian Air said it would buy two more 787-9 Dreamliners, seeing the aircraft's technical advances as outweighing its operating problems as the budget carrier expands in long-haul services.