Davis originally injured the hamstring in early August, and he aggravated it during Tennessee's 37-16 win over Jacksonville on Sunday.
"It's tough for anytime to have to watch a guy who can't play," Titans head coach Mike Mularkey said. "It's so frustrating. He's so competitive. He thinks he's letting us down. He's not letting anybody down. We're dealing with the NFL. We have injuries. I know he's frustrated at this point that he can't play."
Mularkey added of Davis' injury, "We are trying to get him past this so we are not dealing with this in November."
The news regarding Titans running back DeMarco Murray was more optimistic. Mularkey said he was "hopeful" to have Murray on Sunday," after Murray aggravated a hamstring injury in the second half against the Jaguars.
Mularkey said one of the two players had an MRI on Tuesday for his hamstring, but he would not confirm which player it was. Both attended Wednesday's practice but did not participate. Davis snagged balls from the JUGS machine after practice.
Davis missed a month after he first suffered the hamstring injury on Aug. 3. Murray missed a couple of weeks with an injury that he suffered the same week.
Whether Murray plays or not, there probably will be an increase in reps for running back Derrick Henry, who took over when Murray exited Sunday's contest with hamstring tightness in the third quarter. Henry rushed for a career-high 92 yards and a touchdown on 14 carries. Murray finished with nine carries for 25 yards.
"It depends on how well he can go," Mularkey said when asked if Murray could still start Sunday. "Just need to see he's capable of being an effective runner for us. He has a couple days to do that."
Davis returned late in the fourth quarter against the Jaguars, and Murray sat out the rest of the game after telling trainers of his hamstring tightness. Both players played in Week 1 without apparent limitations.
Eric Decker will start for Davis opposite Rishard Matthews on Sunday. Speedy receiver Taywan Taylor is likely to see a significant uptick in reps. The Titans promoted receiver Zach Pascal for their practice squad on Tuesday for extra receiver depth.
Linebacker Aaron Wallace was placed on injured reserve on Tuesday with a back injury, for which he will have surgery. The move cleared room for Pascal to be elevated.