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Modern server workloads have large code footprints which are prone to front-end bottlenecks due to instruction cache capacity misses. Even with the aggressive fetch directed instruction prefetching (FDIP), implemented in modern processors, there are still significant front-end stalls due to I-Cache misses. A major portion of misses that occur on a BPU-predicted path are tolerated by FDIP without causing stalls. Prior work on instruction prefetching, however, has not been designed to work with FDIP processors. Their singular goal is reducing I-Cache misses, whereas FDIP processors are designed to tolerate them. Designing an instruction prefetcher that works in conjunction with FDIP requires identifying the fraction of cache misses that impact front-end performance (that are not fully hidden by FDIP), and only targeting them. In this paper, we propose Priority Directed Instruction Prefetching (PDIP), a novel instruction prefetching technique that complements FDIP by issuing prefetches for only targets where FDIP struggles - along the resteer path of front-end stall-causing events. PDIP identifies these targets and associates them with a trigger for future prefetch. At a 43.5KB budget, PDIP achieves up to 5.1% IPC speedup on important workloads such as cassandra and a geomean IPC speedup of 3.2% across 16 benchmarks.