Dudley's been dealing with right calf tightness since Saturday's 111-102 road win over the 76ers.
The 33-year-old logged just under 28 minutes in the Game 1 upset, finishing with four points, four assists, and one steal. The Nets outscored the 76ers by 16 points with Dudley on the floor.
Additionally, sources told The Athletic's Shams Charania that Nets big man Ed Davis, who's been listed as questionable due to a sprained ankle, will play Monday. Davis finished with 12 points and 16 rebounds off the bench in Game 1.