The pressure you get is what is maintained in the chassis air system by the compressor. It is nominally 125 psi, but actually floats between about 90 and 125. The low figure varies a bit in different years and chassis, but is typically 90-95. Basically the compressor turns on when the low limit is reached and runs it back up to 125, then shuts off.
125 is plenty for your tires but 90-95 probably is not. If your tires need 105, for example, and you have to add more than a little, chances are the pressure will drop too low to be useful. What you do is stop filling the tire and bleed air from the system until it hits the low point and the compressor comes on again. Once it hits 125, you can start pumping again. You bleed air either by pumping the air brake pedal or opening a valve in your air hose (some air chucks have these built-in).
If you only need 80 psi or so (e.g. the rear tires), you have plenty.