You will probably be Ok to wash it in the washer on cold, on a gentle cycle. Use the most gentle cycle on your machine. Its better to use one of the wool specific detergents, like
Nikwax or,
Kookaburra wool wash. These are very kind to the wool fabric and, have a touch of lanolin added to enhance the natural wicking and "shape" retaining properties. After the spin cycle, remove the articles and lay out on a towel or, the bed to finish drying. Works great and holds it's shape.
Having said that, I always hand wash my wool in the sink with the soap mentioned above. I fill the basin with warm water and soap (it takes very little), put the garments in and let soak for about 10 or so minutes, then squeeze and swish around a few times. Drain the sink and refill for rinsing. Rinse twice. Then put in the washing machine on the spin cycle only. Remove and lay out on bed or towel to finish drying. Works equally as great.