Martin's knee was bothering him again Thursday night, so he would benefit from more time to rest before a second-round series.
He also did not practice in the five days between the Kings' first- and second-round series.
After winning the first two games of the second-round series, they lost the next four in a stunning skid.
Only six teams have come back to win a second-round series after being down, 3-1.
The next step is to win a second-round series.
Indiana had 11 days off between its first- and second-round series, something Stern said would not happen again.
In Game 7 of last year's controversial second-round series, he had 38.
Dudley said he hopes to return in a potential second-round series.
The Devils had won 15 consecutive games coming into this second-round series.
Both second-round series, in 1990 and 1991, ended with the Bulls winning in five games.