He again described US President Donald Trump's responses - such as tweeting North Korea would face "fire and fury" - as "not helpful".
English said any comments that escalated the tension were unnecessary but the US was still committed to resolving the issue without military action.
Foreign Minister Gerry Brownlee said any decision by New Zealand would depend on the nature of a conflict and was still hypothetical.
"From our perspective, if there were to be a conflict, firstly we'd have to know what the nature of that is and we'll know very quickly when that happens. If it was nuclear, for example, then I think you'd have to have a very serious look at what that meant and you can't really pre-empt that."
He believed Turnbull had simply been setting out Australia's position as an ally "and there's been a lot taken out of that that is fairly explosive".
"We think that's an interesting position for them to talk about, but not one we have stepped towards."
Australia was in a formal alliance with the US while New Zealand was "very, very good friends" but not a formal ally.
He said New Zealand was still hopeful that talks and calm would prevail.
Everybody wanted Pyongyang to enter talks, including China, Russia and the US, which had put in place some reassurances for Pyongyang to help that happen. The sanctions were also starting to bite.