The Collaborative International Dictionary of English v.0.48:

Jasmine \Jas"mine\, n. [F. jasmin, Sp. jazmin, Ar.
   y[=a]sm[imac]n, Pers. y[=a]sm[imac]n; cf. It. gesmino,
   gelsomino. Cf. Jessamine.] (Bot.)
   A shrubby plant of the genus Jasminum, bearing flowers of a
   peculiarly fragrant odor. The Jasminum officinale, common
   in the south of Europe, bears white flowers. The Arabian
   jasmine is Jasminum Sambac, and, with Jasminum
   angustifolia, comes from the East Indies. The yellow false
   jasmine in the Gelseminum sempervirens (see Gelsemium).
   Several other plants are called jasmine in the West Indies,
   as species of Calotropis and Faramea. [Written also
   jessamine.]
   [1913 Webster]

   Cape jasmine, or Cape jessamine, the Gardenia florida,
      a shrub with fragrant white flowers, a native of China,
      and hardy in the Southern United States.
      [1913 Webster]

WordNet (r) 3.0 (2006):

Jasminum officinale
    n 1: a climbing deciduous shrub with fragrant white or yellow or
         red flowers used in perfume and to flavor tea [syn: common
         jasmine, true jasmine, jessamine, Jasminum
         officinale]