An embodiment relates to an omnidirectional chassis for a gantry of a computed tomography device. The omnidirectional chassis includes a first pair of omnidirectional wheels; and a first wheel suspension for the first pair of omnidirectional wheels. The first wheel suspension includes a connecting unit to connect the first wheel suspension to a rack; a swivel unit connected to the connecting unit via a first swivel bearing and swivel-mounted about a first swivel axis relative to the connecting unit; and a tandem unit, connected to the swivel unit via a second swivel bearing and swivel-mounted about a second swivel axis. In an embodiment, the first pair of omnidirectional wheels is coupled to the tandem unit such that, on a swivel movement of the tandem unit about the second swivel axis, one omnidirectional wheel of the first pair of omnidirectional wheels is relatively raised and another omnidirectional wheel is relatively lowered.