Christopher Luxon arrives in Wellington ahead of potential coalition announcement

Incoming prime minister Christopher Luxon has arrived in Wellington, potentially signalling a coalition deal is close.

The National Party leader told reporters at Auckland Airport, before he departed, more progress was made in talks Wednesday afternoon with the ACT and New Zealand First leaders.

He said there were more conversations to have about who will be deputy prime minister.

"We'll have more to say about that shortly but we really are very close and we are just in the final stages. There's more conversations to have but we can do that from Wellington tonight."

David Seymour also flew to the capital on Wednesday evening, and Winston Peters was expected to fly down on Thursday.

Some senior National MPs, including deputy leader Nicola Willis and Chris Bishop have already returned to Wellington, with Willis telling RNZ she was not in line for the position of deputy prime minister, which is understood to be between ACT leader David Seymour and NZ First leader Winston Peters.

It has now been nearly six weeks since the 14 October election, and almost three weeks since the final vote total was announced.

Special votes saw National and ACT lose their majority, meaning they needed NZ First to form a government.

Earlier on Wednesday Luxon said that the third and final stage of the negotiations is "largely" finalised, but it's "fair to say" the deputy prime ministership is a sticking point.

"Suffice to say we've got a couple of issues to close out and then we can get this thing done ... largely we've agreed our ministerial positions and appointments," he said.

ACT's Seymour flew to Wellington on Wednesday evening with his deputy Brooke van Velden, but he said nothing should be read into the trip.

"It looks like a deal is close enough that we're getting a flight that we can to get down to Wellington. Classic, only in New Zealand, we've got to go down because there's been some fog and it's hard to get a flight."