"He has picked up his number of throws, the distance and his velocity each day," Stoops said. "He's been better every day."
Stoops said that Bradford has experienced nothing more than routine soreness after throwing on Monday and Tuesday.
"That's the positive," Stoops said. "The next day, he hasn't been any worse for wear. It's only minor discomfort."
Bradford, attempting to return from a sprained throwing shoulder, has been sharing practice snaps with Landry Jones.
At times, both quarterbacks are throwing simultaneously, in order to prepare both players to start.
Coaches for No. 8 Oklahoma say one advantage is that Bradford and Jones have similar styles, meaning plays won't change much depending on who is in the game.
"It's still too early in the week to tell," Stoops said. "These next two days are important."
Joe Schad is a reporter for ESPN.