Output feedback eigenstructure assignment is a control strategy that adjusts eigenpairs of a system by feeding back the system’s out- puts as inputs in a closed loop. If offline operations suffice, which is often the case in vibration analysis, then the feedback can be realized virtually by processing open-loop input-output data. The constraint of knowing the inputs prohibits a direct implementation of the virtual feedback in stochastic systems, where the inputs are unknown. This paper proposes a scheme that eliminates the noted constraint by extracting the required input information, which is the input-to-state and transmission maps and not the actual inputs, from a basis-complying system model. The scheme is formulated under the assumption that the considered system is linear and time-invariant, whereby the input-to-state and transmission maps enabling the virtual feedback are constant matrices. A numerical example with a mechanical system is presented to validate the scheme.