The present invention relates to the use of whole soft avocados to obtain an avocado oil rich in unsaponifiable, said unsaponifiable containing aliphatic acetogenins and/or their derivatives. Advantageously, the oil has an acid value less than or equal to 3 mgKOH/g. The invention also relates to a process for obtaining an avocado oil rich in unsaponifiable from whole soft avocados. said unsaponifiable containing aliphatic acetogenins and/or their derivatives. The invention also relates to an avocado oil rich in unsaponifiable obtainable by this process. The invention also relates to the use of the avocado oil to prepare a concentrate of avocado oil enriched in unsaponifiable or an avocado unsaponifiable rich in aliphatic furans. Finally, the invention relates to an avocado unsaponifiable rich in aliphatic furans or a concentrate of avocado oil enriched in unsaponifiable, obtainable from said avocado oil, for its use as a drug, advantageously in the prevention and/or the treatment of connective tissue disorders such as arthrosis, articular pathologies such as rhumatisms, or parodontal disorders, such as gingivitis or parodontitis.