Can i wash my menstrual cup with this?

can i clean my menstrual cup with dove unscented body bars? i read that you cant clean it with any scented soap or anything like that. it basically has to be natural or close to it with no scents. well this stuff i have doesnt nessicarily say its natural but it fragrance free and hypoallergenic. the only thing is that it comes with 1/4 mosturizer. so is this okk?