Dood I am using exactly that for my airbrush. What you need to do is make sure it's still able to make enough pressure. Those compressors are not good to plug direclty in since they pulse and ur airbrush won't be regular.
What i did is buy an air tank from the hardware store and I adapted a hose to it. I also bought a pressure regulator and water recuperator from a specialized shop and i fitted that to the output. Get the 10 gal tank if u can it's not really expensive.
The compressor makes around 28 psi and I use from 10 to 20 psi to paint. So as long as you keep your tank over 20 u will not get pulses.
You will also notice that the compressor is not very strong and if under pressure it will not start. What you need is to but a valve somewhere between the compressor Output and the air tank input to be able to relieve the pressure in the hose when you want to start it. I guess I could get some pictures of the thing but i'm pretty busy these days but i'll try.
E-mail me if you have questions.