Is the print head not built into the HP cartridges? If the current cartridges are about empty, I’d scrap the current cartridges and buy fresh cartridges if/when I put it back in service.

One thing to keep in mind, if it is an older unit, and you keep it in storage for several years, it might be difficult to purchase OEM cartridges at that future time. You may have to go with after market or refilled cartridges.