"We'll address that at a later date," Harbaugh said.
Harbaugh obviously isn't in a rush to show his hand. Kaepernick has made a serious case for the starting job with back-to-back wins over a six-day span, but it remains unclear if Kaepernick actually won the gig or if he's merely filling in for Smith, who suffered a concussion two weeks ago.
Smith was cleared by doctors Saturday, but he said he hasn't been informed what his role is at this point.
"I have no idea, honestly," Smith told NFL.com's Albert Breer.
Breer: A position of strength
"It's difficult, but I think Alex is still the man," Davis told Breer. "In my heart, I strongly believe that. And you'll know, next week, Coach Harbaugh will make a right decision with who he wants to go with, but right now, we have two outstanding playmakers."
Smith doesn't deserve to lose the job based on his play this season, but it's hard to imagine Harbaugh turning back now. Kaepernick threw for 231 yards on just 25 passes Sunday. Add his ability to move the ball with his legs, and he's simply a more dynamic option than Smith.