(en) Optimizing battery life remains a challenge for IoT and mobile devices. For Wi-Fi interfaces, power consumption is largely dictated by the absolute time the chip spends in an active state, rather than its bandwidth usage. In scenarios where the Local Area Network (LAN) offers significantly higher capacity than the Wide-area Access Networks (WANs), this throughput asymmetry creates an opportunity. By temporarily buffering traffic and delivering it in dense, high-speed bursts, a client device can increase the time its Wi-Fi chip spends in idle/low-power mode and thus reduce its battery usage for long transfers. We propose BURST, a TCP-level buffering proxy deployed on the local network. For downloads, BURST continuously receives data from the Internet at the WAN rate while the mobile client remains in low-power mode. Then it regularly flushes this buffered data over the high-capacity LAN, which keeps the client's WNIC active for short durations. Unlike previous proxy-based solutions, BURST is application-agnostic and preserves the end-to-end encrypted TLS session. We implement BURST and evaluate with real smartphones. Our results show that BURST achieves up to 45 % energy savings during bulk transfers, with an increase in Flow Completion Time (FCT) of less than 1.06 s in 95 % of our measurements for a single connection.