Yes, sunflower oil is gluten-free. Sunflower oil is derived from sunflower seeds, which do not contain gluten. Gluten is a protein found in wheat, barley, rye, and their derivatives, but it is not present in pure sunflower oil. As long as the sunflower oil is not contaminated with gluten during processing or packaging, it is safe for those with gluten sensitivity or celiac disease to consume.