A seal, which has a core with a radially outwardly extending flange with an end surface and a sealing body with a sealing lip and an over-molded portion that extends radially outward beyond the flange and encompasses the end surface of the flange. Also, a bearing arrangement is disclosed which includes a bearing cup that has a counterbore with a conical inner surface, and a seal, which is contactable with the bearing cup, and has a core with a radially outwardly extending flange with an end surface and a sealing body with a sealing lip and an over-molded portion which extends radially outwardly beyond the flange and encompasses the end surface of the flange. The seal can be press-fit with the bearing cup such that the over-molded portion and the conical inner surface of the bearing cup are in tight contact with each other and form a static seal.