Which statement regarding the layers of a nerve is true? the epineurium is the middle layer of tissue that further protects the nerve fiber and allows blood to supply the nerve. the fascicles surround the endoneurium and are often called nerve fibers. the perineurium is the outermost layer of thin tissue that surrounds fascicles and provides additional protection. the endoneurium is the innermost layer of tissue that surrounds the axons.