Elliott attacked rumours he claimed were “half-truths and hearsay” being circulated against him to “tilt the field”.
Luxon, currently in Napier for a National caucus retreat, refused to comment on that process.
“I don’t get involved in individual candidate elections and selections across this country,” he said.
“I am clear about expectations with the board and the president about what I expect in terms of competency and behaviours [for] profiles of people we might be looking for to bring in, but beyond that, I don’t get involved.”
The vote to select National’s candidate for Tukituki is to be held this month. Former TVNZ reporter Catherine Wedd is a frontrunner.
Somewhat awkward scheduling by both National and Labour has seen the two major political rivals stage their annual retreats in Napier on the same dates, Thursday and Friday this week.
That has seen about 100 MPs descend into the city.