I'd suspect the motor brushes or bushings/bearings are going out. These are not normally user-servicable, IIRC it's a stamped or welded together design. You might be able to pry it open or drill out rivets and substitute screws to reassemble (if you can find the typical LONG, thin screws used for that) and lube the bushings or check the brushes, but most often it's time to replace it.
If it is time to replace it you can try to get the plastic squirrel cage fan blade assembly off first. Sometimes they come off and sometimes they break, which will tell you if you need to buy the motor with a new fan blade assembly or can reuse the old one.