There is limited scope to increase volumes and the focus now is on ensuring the current price can be sustained to avoid an overcorrection, Brown said.
"New Zealand needs to be very disciplined in terms of how we manage things like where the lamb flap prices have got to, we want to be able to get it to a level where it can be sustainable," Brown said. "Prices must be getting to a stage where they will start to plateau."
The rise in demand for lamb flaps has been good for farmer returns.
"That lift in demand from China for some of those cuts is actually a huge benefit to the sheep industry because then you are optimising your returns from every bit of the carcass," said ANZ rural economist Con Williams. "It's an amazing change that has occurred over the last five or six years."
Increased westernisation of Chinese diets is also spurring demand for more traditional cuts of meat.
"The product forms going in there have widened," said Alliance's Brown. "The growth in flap has been significant because of the usage and eating styles but other product forms are now filtering in. What it is really doing is putting a bit of a squeeze on other markets that one day will possibly have to pay a little bit more for some of these product forms."
In 2011, a lamb supply shortage caused a spike in prices which saw the meat taken off many restaurant menus in Europe and the US, denting demand. That led to a glut in supply the following year which pushed down prices and attracted Chinese buyers to the more traditional cuts of meat, according to Agrifax manager Nick Handley.
"They didn't really get into those cuts until the price had dropped quite a long way and it suited New Zealand exporters really well because we suddenly had a lot of lamb we couldn't sell and they jumped in and bought heaps," Handley said.
As European demand starts to bounce back, analysts are watching whether China will continue to buy the more traditional higher value cuts, he said.
"Exporters are working quite hard with their customers in the Chinese market to help develop demand for the higher value cuts because obviously for us to get the most value out of the Chinese market, ideally we would love them to be consuming some of our higher value stuff rather than just buying at the lower end," Handley said.
Meat is New Zealand's second largest commodity export behind dairy, and was worth $5.5 billion in the year through March, according to data published today by Statistics New Zealand.