Previous research on movement preparation identified a period of corticospinal suppression about 200 ms prior to movement initiation. This phenomenon has been observed for different types of motor tasks typically used to investigate movement preparation (e.g., reaction time, self-initiated, and anticipatory actions). However, we recently discovered that this phenomenon is not observed when actions must be initiated under time pressure. In the present study, we investigated urgency effects on corticospinal suppression throughout the time course of an anticipatory timing task. Participants were required to perform timing actions under two urgency scenarios, high and low, and we applied single-pulse transcranial magnetic stimulation at different times during the time course of preparation. We analysed the time course of excitability under high and low scenarios in relation to expected and actual movement onset times. Our results confirmed our earlier findings that corticospinal suppression is not observed when participants perform actions under high urgency scenarios. In addition, we found no evidence that this preparatory suppression could be shifted in time to occur later under high urgency scenarios. Moreover, we found evidence that responses prepared under high urgency are more likely to be disrupted by external events (e.g., TMS pulses). These results suggest that preparatory suppression might be a strategy employed by the central nervous system to shield motor actions from interference of external events (e.g., loud sounds) when time allows. Given these data, we propose conceptual models that could account for the absence of preparatory suppression under time pressure to act.