Well, yes, sinus infection can lead to droopy eyes. For many people, droopy eyelids can make us look tired and older than we really are. So you need to know the causes of droopy eyelids. For example, sinus infection can lead to it. Also, weak levator muscle, paralysis of some nerves, even Injuries such as fracture of the skull bone between eye socket and nose can cause droopy eyelids too. To treat it, there are some ways you can just have a try. For example, you can try tea bags which have a great effect on eyelids. Repeat this for a few days. Also, just keep using hydration which can be important to maintain the health of both eyes and the area around the eyes. Anyway, just have a try.