A bearing seal assembly of a rotary machine includes and inner shaft and an outer shaft. The outer shaft is disposed concentrically around and radially outward from the inner shaft. The space between the inner and outer shafts forms an annulus void. The inner shaft includes an oil inlet port through which lubricating oil enters the annulus void. A grooved structure is located on an inner surface of the outer shaft, and the grooved structure is configured to retain oil upon shutdown of the rotary machine. A bearing is located outside of the outer shaft. An oil outlet port is disposed in the outer shaft and is connected to the grooved structure for supplying lubricating oil to the bearing.