A heat recovery device extends between an inlet and an outlet for exhaust gas, and includes a valve delimiting a direct passage for gas between the inlet and the outlet. The valve comprises a valve body housing a gate movable between a closing off position and a released position. A heat exchanger has an exchanger inlet upstream of the gate and an exchanger outlet downstream of the gate. The valve comprises a tube partially extending inside the valve body up to a mouth edge at a distal end, with the mouth edge extending in a plane. The gate has a plane contact surface configured to come in a direct contact with the mouth edge when the gate is in the closing off position.