Can Eyelid Surgery Remove Under-Eye Bags? Under-eye bags can make the face appear tired, puffy, or older, even when someone gets enough sleep and follows a healthy lifestyle. They often develop because of changes in the tissues surrounding the eyes, including the shifting of fat pads, weakening of supporting structures, and loss of skin elasticity. Eyelid surgery, also known as blepharoplasty, can help address these concerns by...