The rotary piston pump of a hydrostatic transmission for automotive vehicles has a slide block which is shiftable by a plunger in the cylinder of a follow-up control. The plunger is biased against the slide block by pressurized fluid in a chamber of the cylinder and can be shifted under or against the fluid pressure in the chamber by a control valve wherein a reciprocable spool controls the flow of fluid to the chamber from the pressure outlet of the pump. The spool is shifted in response to changes in fluid pressure at the opposite sides of a flow restrictor installed in a conduit which is connected to the outlet of the pump whereby the spool seals the cylinder of the follow-up control from the tank and from the pressure outlet of the pump before the chamber of the cylinder receives pressurized fluid to thereby change the position of the plunger and slide block.