Sweet Bay Laurel Tree Wherever it grows, it's perfect for keeping some green around in the wintertime, since this tree is evergreen! Laurus nobilisBrand: Michigan Bulb. The Sweet Bay Tree is a large, dense, aromatic evergreen shrub The Sweet Bay Tree, or Laurus nobilis is a large, dense, aromatic. Have fresh herbs any time of year when you grow a sweet bay laurel. Whether you can plant indoors or outdoors, learn all about growing your own sweet bay. Sweet Bay, also called the Bay Laurel (Laurus nobilis), is an evergreen shrub whose leaves are often used as a flavorful herb in cooking. Through.