Alice Cooper -- Coolest Guy I Ever Golfed With? ... You'll Never Guess

Rock god Alice Cooper is about to tell you the name of the coolest celebrity he ever golfed with ... and we at TMZ Sports are outright telling you that you'd never guess it in a million years.

Cooper -- a famed golf nut -- was out in NY when we asked him in all his years on the links who's the coolest big star he's ever torched the green with?

Peep at the vid -- the list of possibles is long, with huge names like Micheal Bolton, Justin Timberlake and Samuel L. Jackson all being fanatical golfers ... but if you think it's any of those guys, you're dead wrong.