There is the great relationship between the droopy eyelid and dry eyes. The droopy eyelid is usually caused by the aging problems or the bad use of the eyes. Sometimes the droopy eyelid can be caused by the dry eyes. Once you get the droopy eyelid, you may lack the collagen which will cause the dryness of the eyes. You could use the warm compress often to make your eyes feel comfortable.
Well, in my opinion, droopy eyes cannot lead to dry eyes, so you do not need to worry about it. Generally speaking, there are many reasons which can just cause droopy eyes. For example, eye strain can just tighten your eye skin, and then in a long term, it will just affect your eyelid, leading to droopy eyelids. In that way, your eyes will look older. But on the other hand, for dry eyes, you should know that if your eyes do not make enough tears to coat the eye, you may have dry eye. And it can be caused by many factors, such as vitamin deficiency. Also, eye infection is another factor too. But there is nothing to do with droopy eyes.