The present invention relates to the use of whole soft avocados for preparing avocado oil rich in unsaponifiables, said unsaponifiables containing aliphatic acetogenins and/or derivatives thereof. Advantageously, the oil has an acid value of less than or equal to 3 mg KOH/g. The invention further relates to a method for preparing avocado oil rich in unsaponifiables from whole soft avocados, said unsaponifiables containing aliphatic acetogenins and/or derivatives thereof. The invention further relates to avocado oil which is rich in unsaponifiables and which can be prepared by said method. The invention further relates to the use of the avocado oil for preparing an avocado oil concentrate enriched with unsaponifiables, or avocado unsaponifiables that are rich in aliphatic furans. Finally, the invention relates to avocado unsaponifiables which are rich in aliphatic furans or to an avocado oil concentrate which is enriched with unsaponifiables, and which can be prepared from said avocado oil, for the use thereof as a drug, advantageously for the prevention and/or treatment of disorders of the conjunctive tissue, such as arthrosis, joint conditions, such as rheumatism, or periodontal diseases, such as gingivitis or periodontitis.