Cooper pairs at above-critical current region

It is generally believed that in a superconducor Cooper pairs are broken at above-critical current region, corresponding to the lost of superconductivity. We suggest that, under some circumstance, Cooper pairs could still exist above critical current, and that dissipation of the system is caused by the scattering of these pairs. The existence of Cooper pairs in this region can be revealed by investigating the temperature dependence of the electrical resistance.