I agree with Paul C’s view, with one proviso.
Some smaller motors are run at some level well above their continuous rating because they are only run intermittently. Unimat lathes, and car window motors spring to mind (the latter are rated between 20-25W, but run at over 100, about 5 seconds, once in a while).
If your tank is “huge”, and your compressor “tiny”, it will fill it, eventually, but it may well decide to stop for a breather during the process. Thermal protection, in the form of a self resetting switch, is fairly typical, but by no means certain, so do keep an eye (or back of the hand) on the motor to check it isn’t overheating.
Of course, once the tank is full, assuming no leaks, the compressor only has to replenish what you use, so, being small, it will run little-and-often, rather than once-in-a-blue-moon.
Atb
Simon