SL-DRX involves both Uu and PC5 interfaces. For an RRC_CONNECTED UE (also referred to as a connected mode UE, or simply connected UE), several SL-DRX enhancements are described in this disclosure to trigger SL DRX and share configurations. Alignment of SL-DRX alignment with Uu-DRX (referred to as Uu/SL DRX alignment or simply alignment) is also described, as an optional feature (since not all schedules can temporally align).