Washington has been impressed with the play of Dwayne Haskins at their rookie minicamp.
"It's been a treat," Gruden said. "He's made some throws that turn your head without a doubt."
Added Doug Williams, the Redskins' senior vice president of player personnel: "It don't take long for the ball to get from Point A to Point B."
Haskins was selected 15th overall by Washington.
Gruden has said he does not like a three-man competition for the starting job because it's hard to divide the reps to give each quarterback enough of a chance.
"The most important thing in the next couple weeks is, let's see how far we can push this guy," Gruden said. "Let's see if there is a chance he can win the job. If we feel like he's coming along slower, then we have to maybe push Case or push Colt. But if we feel like [Haskins] is coming along and he's firing and he's comfortable, then we'll play it out and see what happens."