A magnetic tape cassette, especially compact cassette, having a housing with an inner wall and having at least one flangeless hub, for use with a transport apparatus having a drive spindle provided with projecting keys, said hub being mounted in said cassette for displacement in at least the radial direction and, on its inner periphery, having teeth for driving engagement with said projecting keys on the drive spindle,
- wherein the hub comprises an inner part having said teeth on its inner periphery, and a separate outer part having a winding surface for said magnetic tape, and means for coupling said inner part to said outer part for torque transmission in such a manner that there is at least radial play between said parts after coupling, so that tolerances affecting the driving relationship between the transport apparatus and the cassette are at least partially absorbed by the play between said two parts and hence displacement of said outer parts relatively to the inner walls of the housing in operation is minimized.