A method for making by a deep drawing process a thin-walled bearing bushing comprising a cylindrical sleeve section and a bottom section closing one end of the sleeve section having an outer peripheral rim at the juncture of the sleeve and bottom sections of small cross sectional radius including the step of forming an annular groove which is deep relative to the normal thickness of the bottom section and has a sharp profile in one face of the bottom section adjacent the juncture of the sleeve and bottom section, the groove being impressed axially to effect radial displacement of the material outward into the area of the peripheral rim.