Yes you can. In the snow sports world, this is called “OTG,” or “over the glasses.” OTG goggles are specifically designed to be worn with your glasses underneath. While this is a widely familiar option, it has some drawbacks. Many goggles come with an anti-fog coating; however, this doesn’t stop your eyeglasses from fogging up. In addition to cloudy vision, wearing glasses underneath goggles is not the most comfortable experience, and not the safest for your eyes either. When you take a fall on the slopes, you risk the wellbeing of both your prescription glasses and your vision. If you do choose this option, make sure you purchase a snow goggle that is specifically an OTG goggle.
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Wearing Goggles Over GlassesOTG "Over the Glasses" Goggles