Clock drifts are a common phenomenon in distributed systems, such as microgrids (MGs). Unfortunately, if not accounted for, the presence of clock drifts can hamper accurate frequency restoration and power sharing in MGs. As a consequence, we have proposed in [1] a distributed secondary frequency control that ensures an accurate stationary control performance in the presence of clock drifts. In the present work, we extend the analysis in [1] by providing a tuning criterion for the controller parameters that guarantees robust stability of a given equilibrium point of the closed-loop dynamics with respect to uncertain bounded clock drifts. Finally, our analysis is validated via simulation.