This kind of sweat is produced as part of your body's cooling system, either when you're mid-beast-mode at the gym, or curled up in a toasty blanket fort. This kind of sweat doesn't really smell of all that much and, provided you shower, won't produce body odour.Apocrine sweat, however, is a different story. Your apocrine sweat glands are located wherever hair is abundant on your body. These glands secrete a mixture of sweat and sebum, loaded up with proteins, lipids and steroids.