An electrical connector with electrically lossy materials bridging ground members. The lossy conductive members may be formed by filling a settable binder with conductive particles, allowing the partially conductive members to be formed through an insert molding process. Connectors assembled from wafers that contain signal conductors held within an insulative housing may incorporate lossy conductive members by having filled thermal plastic molded onto the insulatative housing. The lossy conductive members may be used in conjunction with magnetically lossy materials. The lossy conductive members reduce ground system do resonance within the connector, thereby increasing the high frequency performance of the connector.