In this paper, a new finite element formulation for elastoacoustic problem with dissipative interface is presented. The proposed approach is based on the introduction of the normal fluid displacement field on the damped interface which allows to transpose formulations in frequency domain to time domain when the fluid is described by a scalar field like the pressure. Two dissipative interface models are presented: the Kelvin-Voigt model with the associated symmetric formulation and the Zener model. The damping effect of the interface is analyzed by mean of examples in transient and frequency domain.