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The conditions, at which quasi-bound $\eta-^{3}$He state is possible, havebeen investigated and compared with the available findings about$\eta$N-scattering length and the information about $^{3}$He nucleus fromreferences. We conclud that the existence of quasi-bound $\eta-^{3}$He statewithin the framework of the optical potential model, which doesn`t contradictall collected findings, is not possible, but the observing anomaly of$\eta^{3}$He-interaction at low energies is a virtual state.

$^3_\eta He$ nucleus modeling in the frame optical potential model