Connection device for a rolling contact bearing which is to be connected to a wheel hub, the connection device being suitable for connecting an inner race of the bearing to a cylindrical body of the wheel hub, and presenting a peripheral connecting outline which is obtained around the cylindrical body of the wheel hub, and a complementary connecting outline which is obtained inside the inner race, and is of a shape which complements the peripheral outline in order to render angularly integral in relation to each other the inner race and the cylindrical body; the two outlines both presenting a radius (R) of variable angular dimensions with continuity on a plane which is transverse to a rotation axis (A) of the bearing, and being both provided, in relation to the rotation axis (A), with at least one convex portion.