Many hardware accelerator architectures use DMA units to transfer memory which may be limited by the fixed-width size of the DMA transfer, and automatic loop tilers currently do not take the limitation of these DMA units into account. We present a compiler pass, implemented in MLIR, that uses polyhedral analysis on the memory access patterns in a loop nest and constrain the possible tile sizes based on the DMA chunk width. This allows the compiler to effectively tile loops for these architectures.