The quantum-statistical expression for the entropy production has been used as a starting point for the description of spin relaxation. The development of this formulation leads to another relation for the entropy production σ, which is given in terms of a quantum correlation function over a dissipation operator Ψ_d. The latter is connected with the flux operator and the generalised force, as in the classical alternative. The final molecular expression for the phenomenological coefficient L_ii yields the same value of the relaxation rate 1/T₁, as obtained by other methods, using different starting points.