Microsecond isomers of neutron-rich nuclei in the masses A=96 and 98 were reinvestigated at the ILL reactor (Grenoble). These nuclei were produced by thermal-neutron induced fission of 241Pu. The detection is based on time correlation between fission fragments selected by the Lohengrin mass spectrometer, and the γ rays and conversion electrons from the isomers. A new level scheme of 96Rb is proposed. We have found that the ground state and low-lying levels of this nucleus are rather spherical, while a rotational band develops at 461 keV energy. This bans has properties consistent with a π[4313/2]xν[5413/2]K=3− Nilsson assignment and a deformation β2​>0.28. It is fed by a 10− microsecond isomer consistent with a π(g9/2​)ν(h11/2​) sperical configuration. It is interesting to note that the same unique-parity states π(g9/2​) and ν(h11/2​) are present in the same nucleus in a deformed and in a spherical configuration. The neighbouring odd-odd nucleus 98Y presents a strong analogy with 96Rb and is also discussed