I've coached some pretty fast guys (faster then the OP)... and ASSUMING this athlete is in college, and ASSUMING he isn't racing a 5k in the next several weeks, this isn't the right workout for right now.
4xmile at 5k race pace is one of my favorite workouts. But NOT on 60 seconds. 2:00-3:00 achieves the same stimulus. Its a pure V02Max workout and the benefits will be had at 2:00 or 3:00 rest.
I could believe that its DOABLE at the end of the season (but would take a ton out of you) but then the question is why? If you get the same reaction to doing it with 2-3:00 rec, and you can recover better (and hence race better) isn't that more beneficial?
As another fellow coach mentioned, unless this is a test to see how the athlete reacts. In that case, it can be a valuable piece of information for coach. And if the athlete gets through it, it can also be a nice confidence booster.
ASSUMING this athlete is in college, with collegiate 8k and 10k cross races coming up, though, I would have him doing tempos, fartleks, hills, etc right now... Not a ton of V02Max work anyway (maybe once every 2 weeks). And the V02Max work I would do would probably be in the form of 1000s at this time of year, off of little rest (60-90 seconds). I would rather do something like 400s or 600s even, at a little faster then 5k pace, with 30sec-60 sec rest. That is a better workout then flat out miles (right now).
You also have to think... this guy probably hasn't done anything NEAR that pace in 3 months (assuming he has just been running mileage all summer)... so 5k pace SHOULD be difficult right now (though not after a few workouts at faster then 5k pace).