Griffin surrendered three runs on six hits and no walks while striking out two over three innings pitched. He has allowed five runs through five innings pitched over his first two starts.
Dudley has missed two straight games with the issue. His next chance to play will come on Monday against Phoenix.
Watson will now have missed three consecutive games with an injury to his right elbow. He is averaging 6.3 points, 1.7 assists and 1.6 rebounds over 59 games.
The Pacers will be back on the court Tuesday against Boston.