An earth-boring bit has a bit body and at least one bearing shaft depending inwardly and downwardly from the bit body. The bearing shaft has a base where it joins the bit body. At least one cutter is mounted for rotation on the bearing shaft and has radial and axial surfaces that cooperate with the base of the bearing shaft to define a bearing seal gland. A bearing is defined between the cutter and bearing shaft. A seal element is disposed in the seal gland. A secondary seal is disposed in the seal gland opposite the cutter axial surface and cooperates with the seal element to at least partially seal the gland against entry of debris from the exterior of the bit.