Pipe conveyors make up important elements of ecological transport systems. They ensure the material is transported in the conveyor belt coiled to the shape of a pipe. Various stresses impact their most important component - the conveyor belt - straining it in both, the longitudinal and the transverse direction. This phenomenon arises in connection with the shape of the conveyor route of the pipe conveyor, the width and thickness of the conveyor belt, the volume of the material conveyed, and the like. In recent years, more and more authors have been researching contact dependencies of the normal forces acting on the idler rolls located in idler housings. Their task is to design such structure of a conveyor belt that will put the least strain on the idler rolls, thus significantly reducing the power required to ensure the movement of the pipe conveyor. In this way, greater efficiency of eco-friendly transport will be achieved. Following experimental research, the paper describes a regression model of dependencies of normal contact forces on tension forces required, as per individual idler rolls in idler housing.