An in-line shutoff valve includes a valve body with an inlet chamber, an outlet chamber, and a poppet seat disposed between the inlet and outlet chambers. A poppet is movably disposed within the valve body and has an open and closed position. The poppet seats against the poppet seat in the closed position, fluidly separating the inlet chamber from the outlet chamber. The poppet is unseated from the poppet seat in the open position, fluidly coupling the inlet and outlet chambers. A manifold with a servo port and a vent port is disposed within the valve body between the inlet and outlet chambers, the vent port being in fluid communication with the servo port to cool valve internal structures when the poppet is in the closed position.