A sealing assembly for a rolling-element bearing includes a first seal element and a second seal element, the first seal element including a first support member mounted on a first bearing ring, a first seal body extending radially from the first support member and having an oblique side surface, and at least one first seal lip extending radially from the first seal body to the second ring to form a first seal and the second seal element including a second support portion mounted on the second ring, a second seal body projecting from the second support portion and at least one second seal lip extending from the second seal body to the oblique side surface to form a second seal. A buffer member extends from the first seal element toward the second seal element and has first and second radially spaced annular ribs that extend toward the second seal element.