It is generally safe to wash wine glasses in the dishwasher, but there are some things to keep in mind to ensure that the glasses are not damaged:

1. Check the manufacturer's instructions - Some wine glasses are labeled as dishwasher-safe, while others are not. It is important to check the manufacturer's instructions before washing the glasses in the dishwasher.

2. Load the glasses carefully - Make sure that the glasses are not touching each other or other items in the dishwasher. Glasses can break or chip if they bump into each other during the wash cycle.

3. Use a gentle cycle - Choose a gentle or delicate cycle that uses lower water pressure and a shorter wash time. This will help prevent the glasses from being jostled around too much and reduce the risk of breakage.

4. Use a mild detergent - Use a mild detergent that is designed for glassware. Avoid using harsh chemicals, bleach, or abrasive cleaners, as they can damage the glasses.

5. Use a rinse aid - Rinse aid can help prevent water spots and improve the drying process, leaving the glasses shiny and streak-free.

Overall, if the wine glasses are labeled as dishwasher-safe and you load them carefully and use a gentle cycle, washing them in the dishwasher should not be a problem. However, hand-washing the glasses is still the safest and gentlest option for cleaning delicate glassware.