The present invention relates to the use of avocado peels in order to obtain avocado unsaponifiable enriched in saturated aliphatic hydrocarbons and in sterols, said avocado peels accounting for 5 to 50% by weight relative to the total weight of avocado used. The invention also relates to a method for obtaining avocado unsaponifiable enriched in saturated aliphatic hydrocarbons and in sterols from at least avocado peels, said avocado peels accounting for 5 to 50% by weight relative to the total weight of avocado used. The invention also relates to an avocado unsaponifiable enriched in saturated aliphatic hydrocarbons and in sterols, obtainable by this method. Lastly, the invention relates to an avocado unsaponifiable enriched in saturated aliphatic hydrocarbons and in sterols, for use as a drug, advantageously in the in the prevention and/or treatment of conjunctive tissue disorders such as arthrosis, articular pathologies such as rheumatism, or periodontal diseases such as gingivitis or periodontitis.