The present study outlines a theoretical model which examines the propagation of Love-type waves in a layer of piezomagnetic material (Terefnol-D) over an elastic substrate (ST-cut Quartz) immersed in a viscous liquid of finite thickness. Governing equations are framed separately for each media by using the concept of the Sturm–Liouville Problem. Frequency relations are derived in complex form for both the magnetically open and short cases and subsequently result in two nonlinear equations. Mathematica 9.0 software is used to solve the acquired equations. The objective of this study is to observe the effect of the presence of the viscous/Newtonian liquid layer on the velocity profile of the Love-type waves propagating through the PM layer. Relevant graphs are inflicted to mark the influence of viscosity and thickness of the liquid layer on the dispersive curves of the considered wave. The outcomes of this study may assist in the design and optimization of various sensors and Love-wave-based devices operating in contact with viscous/Newtonian liquid.