The degradation of LM124J operational amplifier under the gamma-irradiation is studied for different dose rates and temperatures during irradiation. The results show that degradation of studied devices due to total ionizing dose effects continues to increase significantly, if the dose rate decreases below 0.01 rad(Si)/s, that is not typical for the most of bipolar devices. It can complicate the use of criteria of enhanced low dose rate sensitivity (ELDRS), which are defined by existing standards for radiation tests. The paper shows how to take into account such effects during radiation testing considering ELDRS.