A clutch module for a powertrain of a motor vehicle, comprises a clutch housing with connection elements; a drive shaft which is rotatably mounted in the clutch housing about a rotational axis by means of a shaft bearing, wherein an outer end portion of the drive shaft lies outside of the clutch housing, and an inner end portion of the drive shaft lies within the clutch housing; a constant velocity joint, a joint outer part of the constant velocity joint being arranged as least partly within the clutch housing and being rotatably mounted in the clutch housing about the rotational axis by means of a joint bearing; and a controllable clutch which is arrange din the clutch housing and which is designed to optionally separate or connect the drive shaft and the joint outer part in order to transmit a torque. A drive assembly can comprise such a clutch module.