Twenty new transitions in 95Sr were identified from -- coincidences in the spontaneous fission of 252Cf. New bands, based on a previously known isomeric state, T 1/2=23.6(24) ns, have been built up to a (31/2+) state. The states in these bands show a close similarity in transition energies to the ground band of the neighboring 94Sr, which has a spherical shape. This similarity is interpreted as the weak coupling of the 1g7/2 neutron particle to the levels of the 3894Sr56 core.