An aspirating face seal for use with a rotary machine includes a rotating seal ring including a radially outer surface that includes an oblique portion. A stationary seal ring is coupled proximate the rotating seal ring such that a first gap is defined therebetween. The stationary seal ring is movable along a centerline axis of the rotary machine between an open position and a sealed position, and includes an extension member that extends across the first gap. An auxiliary seal includes at least one seal tooth that includes a seal tooth tip. The at least one seal tooth extends radially inward from the extension member such that a second gap is defined between the seal tooth tip and the oblique portion.