Allspice Ground So called for its flavorful blend of cinnamon, clove and nutmeg, allspice, also known as Jamaican Pepper, is actually the dried, un-ripened fruit of a small evergreen tree. It is present in European-style baked goods and lends itself to Jamaican and Caribbean cooking. Allspice is also an excellent addition to roasts, baked root vegetables and sauces for meats.