Packers coach Mike Sherman said the headaches, an aftereffect from the concussion he suffered, were gone, but Franks' back remained sore.
"I'm a little bit concerned, to be honest with you," Sherman said, "just because of where he was last week during the game and was kept (in a hospital) overnight. He said his headaches have subsided, so that's a positive. He's been cleared from the concussion 100 percent from that standpoint."
Sherman listed Franks as questionable for Sunday's game, meaning there is a 50 percent chance he will play. He was to be evaluated Saturday to determine whether he will play.
For his part, Franks wants to play.
"All I can say is it's the Bears game and I don't want to miss the Bears game," Franks said.
While Franks is hoping to play, starting linebacker Na'il Diggs almost certainly will not.
Diggs' bulky knees haven't healed, and Sherman is leaning toward resting him for the week.
Diggs tore the medial-collateral ligament in one knee during training camp and the other MCL in Week 3. Diggs had fought through the pain, but he's nowhere close to being 100 percent mended. He's missed six games this season, but after missing four straight, he's played in the last three, including two starts.
"We have healthier guys, so I thought it was putting us and him in jeopardy by having him play this week," Sherman said. "Fighting through the issues of one knee, then the other one, and him trying to help us win; it's a testament to him."
Paris Lenon likely will start in place of Diggs. Fellow linebacker Robert Thomas hopes to play after missing the last two games with a thigh injury. His availability will help dictate Sherman's decision with Diggs. Diggs is listed as questionable.