Jazmine /ja-z-mi-ne/ [2 sylls.] as a name for girls is of Old French and Persian origin, and the meaning of the name Jazmine is jasmine.Jazmine is an alternate form of Jasmine (Old French, Persian). Jamin is a popular last name.Kreatif forms: Jacmine, Jaczmine, Jazmini.azmine /ja-z-mi-ne/ [2 sylls.] as a name for girls is of Old French and Persian origin, and the meaning of the name Jazmine is jasmine.