Parker suffered the injury in the third quarter on Monday night in a 115-92 loss to the Los Angeles Clippers. He finished with eight points and six assists while committing just one turnover in 25 minutes.
Marco Belinelli will likely draw the start and see the bulk of the minutes at point guard in Parker's absence. Without Parker in the lineup, the Spurs figure to lose their dribble penetration and ability to draw quality shots from the perimeter.
The Spurs will complete their current four-game road trip on Wednesday and Thursday against the Phoenix Suns and then the Golden State Warriors in a nationally-televised affair on TNT. Their next game after that isn't until Saturday when they will take on the Oklahoma City Thunder.