High Tc superconductivity in La2−xSrxCuO4 coexists with (striped and glassy) magnetic order. Here, we report NMR measurements of the 139 La spin-lattice relaxation, which displays a stretchedexponential time dependence, in both pure and disordered x = 0.12 single crystals. An analysis in terms of a distribution of relaxation rates 139 T −1 1 indicates that i) the spin-freezing temperature is spatially inhomogeneous with an onset at T onset g = 20 K for the pristine samples, and ii) the width of the T −1 1 distribution in the vicinity of T onset g is insensitive to an ∼1 % level of atomic disorder in CuO2 planes. This suggests that the stretched-exponential 139 La relaxation, considered as a manifestation of the systems glassiness, may not arise from quenched disorder.