Oil sump seal pressurization apparatus for turbine engines are disclosed. An example oil sump seal pressurization apparatus may include a non-rotating oil sump housing a bearing; an oil seal isolating an interior of the oil sump; a passage arranged to supply pressurization air to an outward side of the oil seal; a drain arranged to allow draining of oil and venting of at least some of the pressurization air, the drain being positioned axially between the passage and the oil seal; a wide discourager tooth disposed on the shaft and extending radially outward towards a non-rotating land, which may be disposed axially between the passage and the drain, the wide discourager tooth being spaced apart from the land in a radial direction by a gap, the wide discourager tooth including an upper surface; and/or an adjacent tooth disposed on the shaft and extending radially outward from the shaft.