One note that I would ask - is the 7.5 partition fully installed, with all of the licensed products already installed? I would point you to this IBM link for migrations between versions, but it might not be applicable to what you are really trying to perform. So, read through this with caution and understanding that this is based on a release to release migration between systems/partitions that are on different OS levels. However, if you do not need to restore the entire system - it might add confusion.
https://www.ibm.com/docs/en/i/7.5.0?topic=pm-preparing-migration-from-i-model-that-does-not-support-i-75
If you run using the method above, you should install the LPPs at the newer version again once you have completed. If the new 7.5 TR6 partition is already a running and functioning partition - then you need to consider how to merge the two systems (which might be simper).
Along with what Satid has mentioned, I usually caution about these items as well (I am assuming you are performing a full system migration, and not just restoring specific libraries/folders/directories):
- IBM Job Scheduler entries will not restore. IBM states to input those again from scratch, but you can restore the QDFTJOBSCD object (while restricted). Keep in mind, this clears all the job history when restored to another system.
- Take care to make sure your audit journal receivers restore, especially if you leave them in QSYS normally on the source system.
- Restore your output queues directly from the QUSRSYS library, as the typical RSTLIB *NONSYS will skip over those.
- Capture a RTVSYSINF on the source system, and perform a PRTSYSINF as well on the source - for comparison afterward.
I understand the time constraint concern, but I also try perform the upgrade on the source system first. It just lets the RESTORE procedures work much easier. (Or, if the new system supports 7.4 - I would restore that level, and then perform the OS upgrade.) This is my preference in general, as I typically find it has fewer worries for my migration.