That was on full display in Week 5 against the Atlanta Falcons when Griffin failed to get out of bounds in the third quarter and was tattooed by linebacker Sean Weatherspoon, suffering a concussion in the process.
Head coach Mike Shanahan said that Griffin didn't know what the score of the game was or what quarter it was after the big hit, via the Washington Post.
He said that the rookie signal-caller was "feeling good" on Monday and had a shot of playing against the Minnesota Vikings in Week 6 (per Rich Campbell of the Washington Times), but the concussion should serve as a brutal reminder of the perils of being a dual-threat quarterback in the National Football League.
Griffin needs to understand that this isn't college football anymore. You can't expect to take a lot of hits and last very long. Just ask Michael Vick.
That's not to say Griffin shouldn't take off every once in a while. He has the gift of speed and that cannot be ignored.
But he has to be smarter.
He could have easily avoided Weatherspoon during the fateful goal-line run in Week 5, but instead turned upfield and was inevitably run over in the process.
Griffin has rushed for 241 yards and four touchdowns so far, but what good is that if he goes down for a long period of time? Griffin, like Vick, needs to understand that he's not invincible, particularly in the pros. Defenders are faster, stronger and more aggressive. By challenging defenders in this league he is simply asking for trouble.
If Griffin starts in Week 6, he'll go up against a Vikings defense that has collected 14 sacks and has been dominant, against the run and against the pass.
Hopefully, for his sake, he learns from his mistake against the Falcons and is more careful the next time he runs down the sideline.