The thermo-elastohydrodynamic lubrication is considered for Newtonian and power-law fluids. A numerical method available in the literature is utilized in obtaining solutions, for a given set of parameters, leading to establishing the maximum carrying load in terms of the slider velocity. Comparison is made with the classical lubrication theory. It is shown that there exists a threshold of the slider velocities for which increase of the slider velocity is detrimental to the ability to support loads.