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I'm the lead of a department with a workload that requires two people. A year ago management hired an employee who spent half their time in my department and half in another department, but that employee left the company about two months ago. For the past half year I've been communicating with my manager as well as HR that the workload is too much for myself and one part-time employee, and now that the part-time employee left it is too much for me to take care of on my own. Management has not made any moves to hire another person, full OR part time, and have kept saying they're looking at internal resources to have someone from another department cross-train with me.
I plan to leave the company within the next year (for many reasons) and have been hoping to be able to appropriately train someone to take over when I leave, since I don't want the department to fall to shambles when I go. However, at the rate this is going, I'm afraid that I will resign and they still won't have hired someone, or they'll have hired another part-time employee who simply won't have the time to manage the job. Out of courtesy, should I try to hint that they should really look at hiring a full-time person so that the transition is smooth when I turn in my resignation? Or could that be putting my job in jeopardy in the meantime? (The workplace is a rather toxic environment with a high turnover rate. I have been here for two years.)