I don't think swimming goggles will fit over your prescription eyeglasses. Also you will feel quite uncomfortable by wearing two pairs of eyewears. Maybe you can try wear contacts and swimming goggles together.
Have you ever head that goggles can also be made to your prescription? I think you can wear prescription swimming goggles instead of wearing two pairs of eyewear around your head. But you need to make sure your prescription is proper to be made in prescription goggles as the lenses are much bigger than regular ones.