The improved Chew-Low expansion, when applied to π-N (3.3) partial wave scattering, has succeeded to fit the experimental data from the threshold up to energies above resonance. Its expression contains only two parameters, namely the coupling constant and resonance level. Therefore, it may conversely determine the coupling constant from the resonance data (level and width) and hence the (3.3) phase shifts. In this paper, we examine the π-Λ P3/2 wave by the same method. At present time the most permissible value of x-A resonance width is 50 MeV, from which we get the π-Λ coupling constant to be g2=34 or f2=0.12. The results corresponding to other possible values of width are also reported. The calculated phase shifts are believed to be legitimate below c.m.s. total energy W≈1450 MeV.