A bleed valve for a gas turbine engine compressor has a valve body and a flapper. The valve body defines a flow path and includes a flapper seat. The flow path extends through the valve body. The flapper is pivotally connected to the valve body and is movable between a closed position and an open position. In the closed position the flapper seats against the flapper seat and blocks the flow path. In the open position the flapper is angled towards the valve body inlet such that fluid moving through the valve body exerts force on the flapper, urging the flapper towards the closed position.