Simmons jumped and grabbed a rebound halfway through the third quarter, then slowly dribbled down the court and flipped a pass to 76ers big man Al Horford. As a whistle blew to halt play, he turned toward his team's bench and flexed his left leg before walking off the court.
The 6-foot-10 point forward then walked to the locker room, where he was joined by 76ers general manager Elton Brand.
Simmons played 23 minutes in Wednesday's game against the Wizards. He finished with eight points, six rebounds and four assists before exiting the matchup.
The 76ers (41-27) play the Orlando Magic (32-37) on Friday night. The playoffs inside the NBA's bubble begin Aug. 17.