We consider= 2 Kazama-Suzuki model on. It is known that the= 2 current algebra for the supersymmetric WZW model, at level k, is a nonlinear algebra. The= 2 W 3 algebra corresponding to N= 2 was recovered from the generalized GKO coset construction previously. For N= 4, we construct one of the higher spin currents, in= 2 W 5 algebra, with spins. The self-coupling constant in the operator product expansion of this current and itself depends on N as well as k explicitly. We also observe a new higher spin primary current of spins. From the behaviors of N= 2, 4 cases, we expect the operator product expansion of the lowest higher spin current and itself in= 2 W N+ 1 algebra. By taking the large (N, k) limit on the various operator product expansions in components, we reproduce, at the linear order, the corresponding operator product expansions in= 2 classical[λ] algebra which is the asymptotic symmetry of the higher spin AdS 3 supergravity found recently.