Provided are an apparatus, method, and system for logical block address to physical block address (L2P) compression. In response to a physical block address (PBA) of a first indirection unit (IU) among a plurality of IUs in a compression unit being updated, it is determined whether IU data of the plurality of IUs is compressible. In response to determining that the IU data is compressible, one or more contiguous IU groups in the compression unit that are compressible are identified based on corresponding PBAs and, then, a compression unit descriptor and PBAs for unique IUs of the plurality of IUs are written into the compression unit. In response to determining that the IU data is incompressible, a flag indicating that IU data is incompressible, PBAs for some of the IUs, and a pointer to PBAs of remaining IUs are written into the compression unit.