He was injured in fifth inning of the White Sox' 8-2 loss to Toronto in the nightcap of a doubleheader on Tuesday.
"All I could think about on the ground was, 'Is that what it feels like when you blow your knee out?'" Konerko told reporters after the game. "It scared me more than anything."
X-rays of the knee were negative, which he says gave him "peace of mind, but he expects to be dealing more with day-to-day pain, as opposed to a season-ending injury.
Konerko, an offensive leader, is hitting .244 with 16 home runs and 50 RBI (389 at-bats).
"This injury can't stop the season," Manager Ozzie Guillen said on the team's Web site. "We have to continue to move on and fight."
Despite three straight losses, the AL Central-leading White Sox have a one-game edge over Minnesota.
Celebrity Families of 2014 [PHOTOS]