Crosby has 19 points (eight goals, 11 assists) in 16 games this season.
The Penguins have lost seven of their past eight games following a four-game winning streak from Oct. 18-27. Their game against the Lightning was the first of four they play in the next week.
"We've got to find some consistency in our game," Sullivan said Wednesday. "If you don't, then change is inevitable. That's just the reality of our business. We're trying to push this team in the right direction to play the game the right way, to play a certain way that gives us the best chance to win. We've done it at times through this early part of the season, but not nearly consistently enough to get the results."