According to InnerBody.com, the fibrous tissue that covers muscles is known as fascia. Fascia allows the skeletal muscles to move independently and is divided into multiple layers.
The epimysium layer is a thin, delicate covering that surrounds every muscle fiber. The perimysium layer places muscles into groups called fascicles. Fascia connect to form a network that extends through the entire body, and the parts of this network that penetrate and surround muscles and other body tissues are known as deep fascia. This layer of fascia is part of the subcutaneous fascia, which covers organs in a variety of body cavities.