The arrangement relates to a hot-film mass flow meter for recording the flow rate of a flowing medium in the intake tract or the charge air tract of an internal combustion engine. A substrate part is provided, that accommodates a sensor chip, which is allocated to a channel that has flowing through it at least one partial mass flow of the flowing medium. The sensor chip extends into channel that has flowing through it the partial mass flow of the flowing medium. The substrate part is formed either as a separately extruded plastic tongue or as a cavity extruded of plastic material. The sensor chip is integrated downstream with respect to a flow direction of the flowing medium, so as to lie behind a leading edge.