It is shown theoretically that optical bistability is possible in a self‐electro‐optic effect device (SEED) with single asymmetric quantum wells because of the blue shift of the optical absorption edge with applied field possible in such structures (in contrast to the normal red shift in symmetric wells). The concept is a simplification of the scheme of J. Khurgin [Appl. Phys. Lett.53, 779 (1988)] (which uses unequal, opposed pairs of asymmetric wells) and shares the potential advantages of lower loss in the transmitting state and less stringent requirements on the exciton absorption peaks.