Floyd threw his third sideline session on Sunday since being placed on the disabled list with a sore elbow on Aug. 28.
"A couple of times we stopped and it felt a little… abnormal," said Floyd, who threw about 50 pitches. "But everything felt good."
Floyd is no longer experiencing any pain in his elbow, according to White Sox pitching coach Don Cooper, so Floyd could be back in Chicago's rotation soon. No return date has been set.
Floyd is 9-9 with a 4.55 ERA for Chicago in 2012. He has 114 strikeouts and 53 walks in 138-1/3 innings pitched.