A method for partially reorganizing a volume is disclosed. In one embodiment, such a method includes logically dividing a volume into multiple regions. The method further enables a computing system to perform a data reorganization operation on a particular region of the multiple regions, while enabling I/O to continue to the other regions. In the event a request for a data set allocation is received for the particular region while the data reorganization operation is taking place, the method automatically performs the data set allocation within other regions of the volume. When the data reorganization operation is complete, the method automatically moves the data set allocation from the region in which it was performed to the region associated with the original request.