A processing device in a memory system determines that a first metric of a first memory unit on a first plane of a memory device satisfies a first threshold criterion. The processing device further determines whether a second metric of a second memory unit on a second plane of the memory device satisfies a second threshold criterion, wherein the second block is associated with the first block, and wherein the second threshold criterion is lower than the first threshold criterion. Responsive to the second metric satisfying the second threshold criterion, the processing device performs a multi-plane data integrity operation to determine a first reliability statistic for the first memory unit and a second reliability statistic for the second memory unit in parallel.