When was the last time you transplanted or repotted your plant? Maybe it is potbound. Overwatering is usually the biggest problem with this plant in winter, but with overwatering, the leaves usually turn yellow and then brown. Over dryness of the soil, on the other hand, will cause shrivelling and browning of the leaves; leaves that are limp and wilted, and there will be little or no growth. If your plant is potbound, it may not be getting enough water even though it is being watered. What size is the pot in comparision to the size of the plant, how often do you water the plant, and how long has it been in the same pot?
Too much fertilizer can result in weak, lanky growth in winter; wilted leaves; crisp brown spots on the leaves and scorched edges on the leaves. Most plants do not require fertilizer in the winter months. If you have been fertilizing the plant this winter, how much and how often has it been fertilized?
Other possible causes of drooping leaves are a sudden change in light, temperature and humidity levels. Have you moved the plant recently to a different location that may be colder or hotter, darker than usual, or less humid than what the plant is used to?
Ask yourself these questions, then, the first thing I would recommend is to check the soil and the root-ball. If the roots are really overcrowded, or the soil is excessively dry, this could be the problem. If the soil is very compacted, damp or soggy, has a foul odor, and the roots are brown or black, soft and mushy, root rot could be the problem as a result of overwatering. If root rot is the problem, and it is quite advanced, there is little you can do for the plant, outside of trying to propagate a portion of it.