Despite morphologically resembling creatures which lay eggs as a means of reproduction, Wassies cannot lay eggs. Perhaps it is this biological limitation which leads to Wassies' innate instinct to swipe any eggs they can get their flippers on (often from the fridge, chickens or sometimes pigeons). Once an egg is acquired, the Wassies carefully construct a makeshift nest using sticks, leaves and whatever other materials they can find. They then tend to the egg carefully as if it were their own, carrying the nest around on their heads in the morning and warming the eggs with their body heat at night, exhibiting aggression towards any other creatures that might want to steal its egg.
The eggs of course, never actually hatch and these Wassies often find themselves with egg on their face. The innate incompetence of the Wassie often leads to it breaking the egg when they tend to it. Other Wassies, envious or slighted by a Wassie showing off its nest are also known to attack the Wassie and smash the egg on its face. Sometimes, the original owner of the egg (often an angry chicken) simply kills the Wassie. The chances of one of these events occurring is 100% given the fact that the egg itself fundamentally cannot hatch.