The compressor itself supplies air and couldn't care less (if it had feelings, that is) what airbrush is attached. What you do need is a compatible air HOSE with the correct fittings. Find out what fitting is on the compressor and make sure you get a hose. Most likely it will be 1/4" NPT Male fitting.
Whomever sells you the airbrush should be able to tell you which hose is correct. Badger makes a nice braided hose with a female 1/4" NPT fitting and a female 1/8" fitting that attaches to the 155. If you opt for their vinyl hose, you will need a 1/4" NPT to 1/8" adapter. All of which should be available from your airbrush vendor.
The 155 is a really good airbrush, but my personal preference is gravity fed. I have three different kinds: Badger 100LG (Large cup Gravity fed), 150 (siphon), both of which are dual action and a 200-20 single action (siphon). I find the gravity fed to be easier to use and less wasteful of paint. If I were to start over I would take a look at Badger's new Renegade Velocity airbrush.