Systematic measurements of the magnetic susceptibility were performed on single crystals of lightly doped La2−xSrxCuO4 (x = 0.03, 0.04 and 0.05). For all samples the temperature dependence of the in-plane magnetic susceptibility shows typical spin-glass features with spin-glass transition temperatures Tg of 6.3 K, 5.5 K and 5.0 K for x = 0.03, 0.04 and 0.05, respectively. The canonical spin-glass order parameter extracted from the in-plane susceptibility of all the samples follows a universal scaling curve. On the other hand, the out-of-plane magnetic susceptibility deviates from Curie law below a temperature T dv , higher than Tg. Comparing with previous neutron scattering results with an instrumental energy resolution of ∆ω ∼ 0.25 meV from Wakimoto et al., the xdependence of T dv is qualitatively the same as that of T el (∆ω = 0.25 meV), the temperature below which the elastic magnetic scattering develops around (π, π). Thus, a revised magnetic phase diagram in the lightly doped region of La2−xSrxCuO4 is proposed. The Curie constants calculated from the in-plane susceptibility are independent of the Sr concentration. On the basis of the cluster spin-glass model, this fact might reflect an inhomogeneous distribution of doped holes in the CuO2 plane, such as in a stripe structure. 74.72.Dn, 74.25.Ha, 75.50.Lk