Daley finished with 12 shifts for 7:25 and was minus-1.
"No update except he couldn't finish the game so we'll see," Wings coach Jeff Blashill said after the 4-3 win over the Dallas Stars. "I don't anticipate him being ready for Tuesday."
Daley was limited to 44 games last season with a couple of injuries but came into this season healthy.
He joins Jonathan Ericsson, who has been out since the preseason with a lower-body injury.
Before the game, Blashill was asked about defenseman Madison Bowey, who has been a healthy scratch in the first two games.
"I thought last night our D played good," Blashill said. "So one, when you're on the outside, as I had him last night, he probably needs somebody not to play great. I think for Madison to play his best, he's got to be great on the penalty kill, I think he has to be really, really good defensively. He's just got to be consistent throughout the game. He had parts of preseason where he did a good job of that. So I think he's growing as a player. He came over here and didn't have tons of confidence when he first came over here and he's trying to build that up and that doesn't get built overnight, it's slow."
It looks like Bowey could get his chance as soon as Tuesday, when the Wings host the Anaheim Ducks.
