Though, if they're just not ok with the penetration part, it could maybe work out. But if they're the kind of asexual who can't even sleep in the same bed with another person, there's no chance.
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I could date an asexual if we had a very close and loving relationship in every other aspect. I personally feel like I'm mildly asexual as I've never had a high sex drive and not much turns me on. I value an emotional/mental connection with a person and having someone to experience life with much more than any amount of sex someone could possibly give me.