Embodiments of the present invention provide a communication method and apparatus, and a computer-readable storage medium, to resolve a prior-art problem that data sending or data receiving of a terminal device is delayed. The method includes: if no monitoring occasion of a wake-up signal exists in a first time window, or a first time window includes no monitoring occasion of a wake-up signal in at least one search space set configured for a terminal device, monitoring a physical downlink control channel within an on duration time period of a discontinuous reception DRX state, where the first time window is a time window for monitoring the wake-up signal, the wake-up signal indicates the terminal device to monitor the physical downlink control channel within the on duration time period, and the first time window is prior to the on duration time period.