We consider the effects of doping the S=3/2 kagome lattice with static, nonmagnetic impurities. By exact-diagonalization calculations on small clusters, we deduce the local spin correlations and magnetization distribution around a vacancy. As in the S=1/2 kagome lattice, in the vicinity of the impurity, we find an extended region where the spin correlations are altered as a consequence of frustration relief and no indications for the formation of local moments. We discuss the implications of our results for local-probe measurements on S=3/2 kagome materials.