Sweating is not one of the many potential side effects associated with taking Prozac. Though sweating is a symptom that can result from a number of causes (both physical and mental), a small percentage of people may experience excessive sweating on occasion as a result of their antidepressant medication. It's important to consult your doctor about this symptom if you're concerned about it, but also know that sometimes these symptoms subside after the first few weeks or months on antidepressants.