Sedum morganianum E.Walther from Veracruz, Mexico, and S. burrito Moran, which is of unknown wild provenance, are two of the most commonly cultivated species of Sedum L. (Crassulaceae) globally. Although it was recently suggested that S. burrito is a vegetative sport derived from S. morganianum, with its treatment as a cultivar, S. morganianum ‘Burrito’, proposed, it is argued that this is unlikely. The best option is to treat the two species as distinct. Amplified descriptions are provided for both species, their vegetative and reproductive morphologies are compared, and differences between them noted.