Modern FPGAs integrate High Bandwidth Memory (HBM), offering up to 12× the DDR bandwidth distributed across multiple memory interfaces. To utilize the most of HBM's theoretical bandwidth, accelerators typically issue long bursts and exploit data locality. However, some applications like sparse matrix-vector multiplication (SpMV) and graph analytics often exhibit irregular, nonbursting memory access patterns, which hinder performance. Additionally, the HBM interconnect, essential for accessing multiple interfaces, may stall requests under certain conditions. This work introduces HBMex, a novel module designed to enhance HBM throughput for accelerators with irregular access patterns. Positioned between the accelerator and the HBM, HBMex improves parallelism by distributing memory requests across interfaces and mitigates stalls caused by the interconnect. We evaluate HBMex using memory access microbenchmarks and an SpMV accelerator, demonstrating throughput gains of up to 37% across real-world workloads compared to vendor-provided solutions. HBMex is distributed as a highly-configurable and open-source RTL generator.