Will the current at the inversion potential of a CV trace asymptotically approach zero?

Reading up on the theory of cyclic voltammetry, I note that the current at the inversion potential (that is, the point at which the applied potential goes negative) in every reversible CV trace I have seen is nonzero. My intuition says that this is related to the finite speed of enlargement of the depletion zone around the working electrode and suspect that given sufficient time this current will drop away to zero as the bulk solution homogenises. Is this correct? If not, what accounts for the current?


