Compression Wrap for Olecranon Joint Pain & Bursa Protection. What Is Elbow Bursitis? Elbow bursitis, the most common type of bursitis, in an inflammation of the bursa located over your olecranon (the pointy bone at the tip of your elbow). A bursa is a slippery, fluid-filled sac that typically allows smooth movement around bony prominences, such as your elbow joint. When a bursa becomes inflamed, the sac fills with fluid. This can cause pain, redness, and noticeable swelling behind your elbow.