Add ingredients to a blender or food processor in this order: oil, dates, honey, vanilla, half your non-dairy milk, avocados, cocoa powder.
Blend for 2-3 minutes until smooth. Pour in additional non-dairy milk a little at a time until the pudding is the consistency you want. Remember it will thicken after chilling in the refrigerator.
Spoon the pudding into ramekins or bowls, cover and chill in the refrigerator until ready to serve.