Clutch release bearing device that includes: an operating element; a rolling-contact bearing fitted with a non-rotating ring and a rotating ring and connected axially to the operating element; and an annular fixing ring provided with an axial portion mounted inside the operating element and also with an axially elastic portion whose axially opposite side from the operating element is pressed axially against the non-rotating ring, the fixing ring being able to keep the non-rotating ring axially connected to the operating element and yet allow radial movement.