Original description as Fundulus parvipinnis:
- Girard, Charles Frederic. 1954. "Observations upon a collection of fishes made on the Pacific coast of the United States, by Lieut. W. P. Trowbridge, U. S. A., for the museum of the Smithsonian Institution". Proceedings of the Academy of Natural Sciences of Philadelphia. 7:142-156 (ffm00201)
- Fundulus vinctus Jordan & Gilbert, 1882, with type locality at Cape San Lucas, Baja California, Mexico. Determiner: Castro-Aguirre et al., 1999
- Fundulus parvipinnis brevis Osburn & Nicols, 1916, with type locality at Magdalena Bay, Baja California, Mexico. Determiner: Lee et al., 1980
Conservation: Fundulus parvipinnis is not evaluated by the international union for the conservation of nature in the iucn red list of threatened species.