No you do not have to take your underwear or bra off during a massage. As always, you (the client) only undresses to your comfort level. If you want to take everything off that’s up to you – whatever you’re comfortable with.
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Am I supposed to take off my underwear?
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Should you wear underwear or go au natural under the massage sheets?
Am I supposed to take off my underwear?
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Ask Eva: How much do I need to take off? - Zeel
Am I Supposed to Take My Underwear Off for a Massage?
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Do men wear bras and panties out in public? - Quora
Should I Take Off My Underwear?, Licensed Massage Therapist