Dear student,
Capacitance is not directly proportional to current. Capacitance of material is independent of the current or voltage across it. But charge on capacitor and voltage across capacitor are related to capacitance by q = CV . So from here , C is inversely proportional to V given q is constant. Also , i = dq/dt = C dV/dt shows i(current) is proportional to rate of change of voltage as capacitance is constant for a material.
Regards