The influence of elasticity in the absence of shear thinning on the total extra losses (end correction) in a capillary rheometer is investigated. Fluids with the unusual characteristic of being elastic but not shear thinning are used. Independent property measurements made with an R16 Weissenberg rheogoniometer are used to quantify the behavior of these fluids. The end correction in the absence of shear thinning is found to be constant with shear rate in the lower shear rate region and to decrease slightly at higher shear rates. The intercept of the end correction shear rate plot is significantly higher than the Newtonian fluid value and is shown to be directly related to the fundamental elastic properties of the fluid. The end correction is measured for a material which exhibits the properties of a second‐order fluid in steady shear. The influence of shear thinning in the presence of fluid elasticity is found to increase the end correction. A method for correlating end correction data is proposed which is consistent with the results obtained by other investigators.