Delyssa \d(e)-lyssa, del(ys)-sa\ as a girl's name is a variant of Delicia (Latin), and the meaning of Delyssa is "pleasure, delight".
The baby name Delyssa sounds like Delysia and Delissa. Other similar baby names are Ilyssa, Illyssa, Alyssa, Allyssa, Calyssa, Delyse, Delisa, Delya, Delisha, Denissa, Dessa, Elyssa, Ellyssa, Felysse, Jelissa, Julyssa, Kalyssa, Melissa, Melessa, Talyssa and Ulyssa.