"It may go into the first game and might not be decided by the first game," Brooks said.
If he had a preference, Brooks would like to see one of the two signal callers step up before spring drills end this weekend. Otherwise, Brooks will have to wait deep into the fall before making a final decision on a starting quarterback.
"I would like for it to be decided," Brooks said. "I won't get totally upset if both of them are doing a lot of good things.
"I wouldn't rule out the possibility of both of them seeing action (in the game). It wouldn't be my first preference."
Pulley, more of an option-type player, has challenged Woodson, the incumbent for most of the spring. Woodson has struggled with poor decisions in the pocket, especially under pressure. Pulley, a sophomore, has shown signs of maturity entering his second full season with the team.
Brooks said he had hoped Woodson corrected the problem which has slowed his progress in the pocket. The junior to-be has a tendency to go down under pressure as opposed to throwing the ball out of bounds to save yardage.
"What I want to see him do is not give up the negative play," the Kentucky coach said. "Those are the kind of plays we went into the spring (hoping he would) eliminate."
Brooks said Will Fielder, an incoming freshman, is "clearly" behind Woodson and Pulley on the depth chart, but said he is making progress.
"For the most part, he's making some pretty good decisions, and for the most part, throws it pretty accurately," Brooks said.
Brooks added that Fidler, who enrolled in January, needs to work in the weight room this summer and continue to study the playbook.
"He has to get in the weight room this summer, strengthen his arm a little bit and his upper body," Brooks said.
Look for both Woodson and Pulley to see plenty of action on the Blue-White game in an effort to give Brooks and his staff a few things to ponder over the summer months.
Regardless who gets the nod going into fall drills, Brooks knows both players will battle until the first snap.
"It's still a competition," he said.