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Compliant viscoelastic coating is an efficient passive way of turbulent friction reduction in boundary layers over bodies moving in a fluid. Wave properties of such coatings play an important role in the interaction with the fluid. For measuring material properties and producing compliant coatings, special testing machines are used. However, wave properties measured in air can differ from those in a moving fluid, and this difference should be included in the process of coating testing. In this paper we consider a layer of viscoelastic material, one side of which is fixed and the other is contacting with a layer of moving fluid. We derive a dispersion relation for waves travelling both in viscoelastic layer and fluid. Influence of the fluid layer thickness and fluid velocity on the wave phase speeds is analysed. Based on the results obtained, correction of method for prediction of compliant coating properties is given.