Multiple choice What is the connective tissue layer covering the nerve fibres called? Perineurium Endoneurium Fascicles Epineurium Neurilemma Reveal answer Fill a bubble to check yourself B Correct answer Explanation It is the innermost layer of connective tissue in a peripheral nerve forming an interstitial layer around each individual fiber outside the neurilemma. It is the delicate connective tissue surrounding nerve fibres within a bundle.