Stubbs missed his seventh straight game as the Reds played the middle game against the Indians.
"We've got to address that too and where he is," Reds manager Dusty Baker said. "It's been a little over a week. We're reluctant to use him at this point."
If the Reds use Stubbs in a game, they would be unable to backdate a potential disabled list move to June 6. However, there are no current plans to place him on the DL.
"We haven't talked about it yet," Baker said.