Pre-heat the oven to 400 degrees F.
Break the woody end off each asparagus spear and peel the outermost layer off the lower 3/4 of the spear with a vegetable peeler. Place asparagus on a large plate, drizzle with the olive oil and toss gently so the oil is evenly distributed. Slice each slice of turkey lengthwise into three strips. Wrap one strip of turkey around each asparagus spear, leaving the tips of the asparagus unwrapped. If using, tie a blade of chive around each wrapped spear. Place the wrapped asparagus on baking tray and bake for 12 minutes, turning once.