This paper proposes a new low temperature limit criteria for asphalt mixtures, similar to what is currently available in the standard specification for asphalt binder. The investigation is based on extensive experimental work that includes Bending Beam Rheometer (BBR) creep tests on asphalt binders and asphalt mixtures at low temperature, on the rheological Christensen, Anderson and Marasteanu (CAM) model and on the semiempirical Hirsch model. Limiting asphalt mixture creep stiffness values are predicted from creep stiffness data obtained on long term aged binder, and then compared with results available in literature. The BBR creep results determined on short term aged asphalt binder are then used to predict creep stiffness of the corresponding short term aged asphalt mixtures. Based on these results, a range of limiting stiffness values is obtained. A limiting value for the relaxation parameter m-value could not be recommended due to large variations in the calculated slopes of the mixture creep stiffness curves.