It is widely accepted that supervenience is a minimal commitment of physicalism. In this article, however, I aim to argue that physicalism should be exempted from the supervenience requirement. My arguments rely on a parallel between ontological dependence and causal dependence. Since causal dependence does not require causal determination, ontological dependence should not require ontological determination either. Moreover, my approach has a significant theoretical advantage: if physicalism is not committed to supervenience, then the metaphysical possibility of zombies—which is still wide (...) open after all these years—would pose no challenge to physicalism. (shrink)