Methods, apparatus, and processor-readable storage media for implementing differential snapshots without array support are provided herein. An example computer-implemented method includes determining whether one or more of a plurality of data blocks in a first snapshot of a storage volume have changed relative to a plurality of data blocks in a second snapshot of the storage volume; generating a respective data structure for each of the plurality of data blocks in the first snapshot, wherein the data structure comprises data content of the corresponding data block of the first snapshot only if the corresponding data block has changed relative to the second snapshot; and transmitting the data structures to a remote storage system, wherein the remote storage system generates a copy of the first snapshot based at least in part on the data structures.