What kind of amp is it? There are some amplifiers I know of that have transformers that over time can develop a low level, but audible buzz or hum. Typically, there is little that can be done about this short of replacing the transformer/power supply. From what I understand, there normally is not an audible inpact to the performance of the amp. Frequently, it is only the owner of the equipment who ever notices it anyway, sort of like when you paint your own walls you forever notice every little blemish that all your guests would never see.
How loud is the hum? What kind/model of amp? Is it tubed?