The nonlinear rheology of an aqueous wormlike micellar system made of cetyltrime–thylammonium chloride with sodium salicylate is studied in this work. At high NaCl salt concentration the rheological measurements show a Maxwell behavior for all the solutions. The data of these samples are analyzed with respect to the Spenley, Cates, and McLeish model. The dimensionless quantities σplateau/G0andγ̇cτR, which characterize the nonlinear rheology are compared to the predictions of this model. At a fixed surfactant concentration these quantities are found to be insensitive to changes in salt concentration and in temperature, respectively. The experimental value of the ratio σplateau/G0we find is close at hand to the theoretical one. A discrepancy between the theory and the experiments occurs, however, in comparing the Weissenberg number defined by the productγ̇cτR.