Coconut the oil from the kernel. Ater extracting oil from the kernel, the fiber is left behind.
Coconut milk is cold pressed from the kernel.
The oil has been extacted out. I am not sure whether the milk has the same value as the oil? The Malaysian take a lot of coconut milk for their cooking because of the taste. They believed the milk has no value and bad for health.So may be you not take the milk.