He's a 10-year 'veteran' with/of the team.
a 'veteran' of the political scene
a 'veteran' politician
(..) - Yeah, we'll do that. Oh, you know, I read your book last night. Oh, so you're the one. Do you still, uh, do you still counsel veterans? - No, I don't. - Why not? Well, I gave it up when my wife got sick. You ever wonder what your life (..)1997 Good Will Hunting