Computers and Electronics Is there such a thing as a sleeping bra? Is there such a thing as a sleeping bra? Sleep bras are exactly what they sound like. They're the ultra-cozy wireless styles you wear “for extra support while lounging or sleeping,” Sapna Palep, co-CEO of lingerie retailer Journelle, tells Glamour. Related Posts:How do you make a sports bra with a push up bra?As a male crossdresser, wear a Bra.Can push up bra increase breast size?How do you clean a Bombshell bra?