-In Wireless Sensor Networks, nodes typically employ batteries that cannot be easily recharged or replaced. Hence, optimizing energy consumption is a major concern. Among the several proposals in the literature, schedule-based asynchronous duty cycle methods are the simplest because they do not require mechanisms, protocols or specific hardware for clock synchronization between nodes. These solutions, however, result in high latency for multi-hop communication. In this work, we show how existing asynchronous mechanisms can benefit from a low level of synchronism, with resolution of slots. Assuming this possibility, we show through mathematical models, numerical and network simulations that the use of specific offsets between clocks of neighboring nodes, according to their distances to the sink node, significantly reduces latency.