So, Do Dachshunds Shed? In short, yes; all wiener dogs shed their coat. But the amount of shedding depends on the health, and type, of their coat. Dachshunds can have three coat types; short-hair, long-hair and wire-hair. Some dachshund owners might say that their four-legged friend never drops any hairs. While this is incorrect, dachshunds do appear to shed very little.