The present invention relates to a process for obtaining a furan lipid-rich unsaponifiable material from avocado, which comprises the successive steps (1) of controlled dehydration of fresh avocados or of avocados that have undergone preliminary transformations, (2) of extraction of the oil from dehydrated fruit, (3) of a heat treatment of the extracted oil and of a step of concentration of the unsaponifiable fraction of the oil or alternately, these two operations possibly being carried out successively in this order or in the reverse order, and finally (4) a step of saponification and of extraction of the unsaponifiable material.