He was examined on Wednesday and cleared to resume workouts.
"They say everything looks good," White said on Friday. "We're taking a couple of more days to let it get better, but it's nothing to worry about."
White last appeared in a game on Sept. 1, pitching one inning against the Angels.
How important is it for him to get in at least one more outing before the season ends?
"We are going to play it by ear," White said, "but it's always nice to finish up the season knowing you are healthy."
Interim manager Daren Brown echoed that thought.
"I think it's important for a guy to get on the mound at some point at the end of the year, just from a mental standpoint of knowing nothing is wrong," Brown said. "The mental standpoint of knowing nothing is wrong is big, and we've already done the tests and stuff. It says there is nothing there, but if he still feels soreness, you have to go on what he says and what he feels.
"But for his own peace of mind, it would be good [to pitch at least one more time]."