Staal is pointless while averaging 18:29 of ice time in his past five games.
Staal generated a goal and an assist in Monday's 4-2 win over the Golden Knights.
Staal scored a goal and added an assist in Thursday's 5-2 loss to Chicago.
Staal has just five points in 10 games in the month of December.
Staal (illness) will be in action against the Kings on Thursday; telling reporters, "I feel good. I don't think I'm at 100 percent, but I definitely feel a lot better...good sweat today and hopefully a great game tonight."
Staal (illness) will travel with the team but may not play Thursday against the Kings.
Staal (illness) will sit out Tuesday's game versus the Sharks, Michael Russo of The Athletic reports.
Staal generated his 400th NHL goal in Saturday's 5-1 road win over the Blues.
Staal scored a goal and added two assists Tuesday in a 4-3 win over Edmonton.
Staal scored the game-winning goal in Tuesday's 2-1 win over the Coyotes.