Depends on the type of compressor.
What he said.
Basically if it is any type of
Positive Displacement compressor, like a reciprocal, screw, lobed, scroll, diaphragm compressor etc., then the amps would stay relatively constant (there is some slight reduction as mechanical losses decrease a little with speed in some designs). These are what's called "Constant Torque" loads, meaning that regardless of speed, the torque required by the machine stays relatively constant, and torque = current for the most part.
If it is however a
CENTRIFUGAL compressor, aka "Radial Compressor", then the amps would decrease with speed, and a rate greater than the speed change based on the Affinity Law for centrifugal loads wherein power to drive the load varies at the cube of the speed change. Note that I said "power", as in kW, not Amps, but Amps go down too.