WHAT IS DEPICORT FOR ? DO YOU KNOW THE GENERIC NAME FOR IT ? ## The brand name Depicort doesn't show up in any of the drug databases. I did find however that Topicort is the closest match to this name. The generic name for Topicort is Desoximetasone. It is used to treat the redness, swelling, itching, and discomfort of various skin conditions. Desoximetasone is in a class of medications called topical corticosteroids. It works by activating natural substances in the skin to reduce swelling, redness, and itching. Click on the link below to learn more about this drug: Please post back if you have any other general questions or concerns about this drug.