"Imports from countries that New Zealand already has FTAs with are growing much faster than imports from Korea."
He said the main obstacle for Korea was the farmer lobby - although New Zealand did not grow rice and only a small amount of grain-fed beef which were the two main areas of concern.
He said trade with China in New Zealand was growing, but New Zealand needed a diverse range of markets.
"China has exponential demands so one of the risks for other companies is that New Zealand increases its exports to China to the exclusion other countries."
He said that might be good for New Zealand in the short term, but it would be worrying if New Zealand narrowed down to one major market.
Mr Key had an informal drink with Australia's Prime Minister Julia Gillard last night. He said the pair discussed the free trade talks, climate change and the Queensland elections and "had a gossip" over a New Zealand pinot noir.