Childress let the quarterbacks know of his decision but neither quarterback was talking after practice.
The coach said Friday that he doesn't want to take away the competitive advantage he feels he has by keeping the decision a secret.
"I don't see the upside of putting it out there," Childress said after practice.
Holcomb said he is used to the cloak-and-dagger nature of the situation from his days with the Cleveland Browns.
"It was every week when I was in Cleveland," Holcomb said. "It was one of those deals where, 'Hey, we're not telling.' That's just the way it is. In this league anything the other team gets, it helps them. So don't show your hand."
Childress said he would inform the rest of the team of his decision on Saturday before they leave for Kansas City.
Receiver Bobby Wade said he has confidence in Bollinger and Holcomb.
"They both took snaps this week in practice," Wade said. "It can go either way. But I think we're ready to win with either one of them."
ESPN.com NFL writer John Clayton contributed to this report. Information from The Associated Press was used in this report.