Jessimine \j(e)-ssimi-ne, jess(i)-mine\ as a girl's name is a variant of Jasmine (Old French, Persian), and the meaning of Jessimine is "jasmine".
The baby name Jessimine sounds like Jessamine and Jessamyn. Other similar baby names are Jelsomina, Jessalin, Jessina, Jessilyn, Jessamae, Jestine, Jesstina, Jossline and Josiline.