A technique for managing storage of compressed data includes generating and enforcing a minimum slot size requirement. The minimum slot size is based at least in part on collected performance metrics that indicate a degree of compressibility of data received, compressed, and written by the data storage system. As new data arrive, the new data are compressed and stored in slots at least as big as the minimum slot size, in many cases effecting an over-allocation of storage space and improving the likelihood that subsequent overwrites will fit into existing slots.