Various aspects of the present disclosure generally relate to wireless communication. In some aspects, a user equipment (UE) may signal, to a base station, an indication that fast sleep is supported by the UE with regard to an inter-slot scheduling configuration or a non-self-contained slot configuration; and receive, based at least in part on signaling the indication that the fast sleep is supported by the UE, signaling indicating the inter-slot scheduling configuration or the non-self-contained slot configuration for the fast sleep, wherein the fast sleep is between at least one of a data grant and a corresponding data communication for the inter-slot scheduling, or a data communication and acknowledgment (ACK)/negative ACK (NACK) feedback regarding the data communication for the non-self-contained slot configuration. Numerous other aspects are provided.