1. An apparatus, comprising a processor and logic integrated with and/or executable by the processor, the logic being configured to: position a magnetic tape volume to a position corresponding to an end of a last data set stored to the magnetic tape volume; read an existing tape volume access block (TVAB) from the magnetic tape volume in response to a determination that the existing TVAB is stored to the magnetic tape volume; write one or more data sets to the magnetic tape volume subsequent to reading the existing TVAB in response to the determination that the existing TVAB is stored to the magnetic tape volume; determine metadata corresponding to the one or more written data sets; and update the existing TVAB with the metadata corresponding to the one or more written data sets to produce an updated TVAB.