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Graphene is of particular interest in optoelectronics due to its remarkable transport properties. We analyze the photonic spin Hall effect (PSHE) of a light beam reflected from a layered structure of graphene in its current-carrying state. The relativistic effects arising due to the motion of massless Dirac electrons in graphene greatly influence the transverse displacements of light induced by PSHE. The mentioned effect is studied with different drifting speeds of the charged particles in graphene as well as different thicknesses of the graphene sheet. The substrate on which the graphene is deposited is also shown to play a vital role in manipulating this relativistic PSHE. This study provides a platform for efficient light-matter interaction in which the medium is a current-carrying graphene channel.