Auckland Unlimited said it is not possible to see where other asbestos pieces may be located due to the nature of the bush, or how much there is just under the surface.
All forms of asbestos can cause cancer. The risk from a single, low-level exposure to asbestos that has been bonded into fibrolite is extremely low, according to the Health Ministry, but no "safe" lower limit of exposure has been identified with certainty.
Auckland Council experts have visited the site to assess the risks to the public, and say the best way to deal with the situation is to leave the ground undisturbed.
People using the bush area should heed the signs and keep to the existing formed tracks.
Authorities have halted all replanting in the area and are looking to narrow down the contaminated area so bush restoration can continue in safe zones.