The invention relates to a method referred to as re-packing which consists of completing the filling of travelling egg racks (8). In each of the consecutive racks, eggs collected from a supply (16) of available eggs are deposited in empty spaces. Said supply is made up of recesses (24) for receiving eggs, which are movable along rows (Rn) of recesses in series. In accordance with a fill state of the in-process rack which identifies the distribution of the empty spaces relative to the full spaces, the supply is automatically configured with a configuration of egg-holding recesses which is complementary to said fill state of the in-process rack, such as to then transfer the eggs between the supply and the in-process rack by matching empty spaces and full spaces in the rack with the presence or absence of egg-holding recesses in the supply.
