Methods, systems, and devices for wireless communications are described in which a user equipment (UE) may monitor for transmissions during an on-duration of a discontinuous reception cycle. The UE may receive one or more go-to-sleep indications from one or more transmission/reception points (TRPs), and may discontinue monitoring for transmissions from one or more of the TRPs responsive to the one or more go-to-sleep indications. Each TRP of the two or more TRPs may transmit a separate per-TRP go-to-sleep signal that indicates that the TRP will not transmit during a time period associated the go-to-sleep signal. In other cases, a TRP may transmit a cross-TRP go-to-sleep signal that has go-to-sleep indications for multiple TRPs.