A cage for a roller bearing having a bearing axis extending in an axial direction, the cage including at least two crosspieces which extend between two axially spaced edges and are spaced from one another in a circumferential direction oriented perpendicular to the axial direction so that a rolling element can be disposed between them. At least one crosspiece of the at least two crosspieces has a first surface region that is a constant radial distance from the bearing axis, and the at least one crosspiece has a second surface region which is adjacent to the first surface region and includes a step along which the radial distance from the bearing axis varies.