Kuemper, who will make his fifth straight start, was acquired in a trade with the Kings for forward Tobias Rieder and goaltender Scott Wedgewood on Feb. 21. He is 2-1-1 with a 2.49 goals-against average, a .910 save percentage and a shutout in four starts with Arizona.
The Kings, 5-2-0 in their past seven games, are in third place in the Pacific Division, two points behind the San Jose Sharks and one point ahead of the Anaheim Ducks.
The Coyotes, 4-1-1 in their past six games and 10-3-2 in their past 15, are 25 points behind the Colorado Avalanche for the second wild card into the Stanley Cup Playoffs from the Western Conference, and would be eliminated from playoff contention with a loss Tuesday.
Coyotes coach Rick Tocchet is on a leave of absence because of a family illness. Assistant John MacLean will coach Arizona in his absence.