Manager Robin Ventura believes Konerko could be ready for Wednesday's game, although he missed two games last year after they worked on his left wrist.
"Nothing. It's happened before," said Ventura, when asked about the severity. "They took care of it today."
With Konerko out of action, Dayan Viciedo moved to the cleanup spot in the White Sox order.
Konerko, who is 1-for-16 over his last four games, was given a rare day off on Sunday and then was able to double up that rest with Monday's scheduled off-day. This unplanned third day of rest should give the White Sox captain and first baseman a renewed freshness when he returns to action.
"Yeah, your body always feels better," said Konerko, speaking to the media before he was scratched. "It gets to cool down for a couple of days. I think over the last year or so it has worked out well. We'll see.
"Sometimes it's not immediate, but you kind of feel [better] more during the week. Sometimes it is immediate. You put in a good day's work and get back out there."