Various aspects of the present disclosure generally relate to wireless communication. In some aspects, a first user equipment (UE) may configure a discontinuous reception (DRX) cycle of the first UE for a sidelink connection with a second UE. The UE may identify a mode that specifies whether the first UE is to receive a communication outside of an on duration of the DRX cycle if the on duration is extended due to receiving sidelink control information (SCI) reserving a resource outside of the on duration. The UE may communicate in accordance with the mode. Numerous other aspects are described.