A memory having a memory controller is configured to operate a hybrid cache including a dynamic cache including x-level cell (XLC) (e.g., multi-level cell (MLC)) blocks and a static cache including single level cell (SLC) blocks. A method of operating the memory includes storing at least a portion of host data into the SLC blocks as static cache; and storing at least another portion of host data into XLC blocks in an SLC mode as dynamic cache responsive to a burst of host data being determined to be greater than the static cache can handle. At least one of the static cache or dynamic cache may be disabled based on monitoring a workload of the hybrid cache relative to a Total Bytes Written (TBW) specification, such as by counting program-erase (PE) cycles of different portions of memory, or responsive to the workload exceeding a predetermined threshold defining one or more switch points.