The authors have studied the conduction electron spin resonance of lithium, and the line broadening resulting from coating Li with another metal Me. In all cases, the observed linewidths can be accounted for by a single parameter, the so-called surface relaxation probability ( epsilon ). The authors have measured this spin-flip probability for several Li-Me interfaces (Me:Si, Cu, Zn, Sn, Sb, Bi). Two interpretations are suggested. In the first, the interface is considered as an infinite barrier inducing spin-flip and resistivity scattering of lithium electrons. This model is shown to be inadequate. In the second, the transmission of electrons from Li to Me is taken into account. The transmission coefficient (t) is related to epsilon through an expression involving the electronic density of states of the two metals, and the bulk relaxation properties of Me. The model predicts epsilon values independent of temperature, as observed. For sufficiently low t values (t approximately 10-3), it gives broadenings independent of the Me thickness, in good agreement with experiments.