The outermost layer of connective tissue surrounding a skeletal muscle is the

Epimysium

Explanation:

The muscle fibers of a skeletal muscle are surrounded by three layers of connective tissues to form a muscle. The three layers of connective tissues are -

a) Endomysium - It is the inner most layer of connective tissue that surrounds all the muscle fiber

b) Perimysium - This layer lies above the endomysium and forms a fascicle

c) Epimysium - This is the outermost layer of the connective tissue surrounding the skeletal muscle. Epimysium form a complete muscle by encircling the fascicle