Okur was sidelined with a strained back after playing a season-high 41 minutes Friday night in a loss at Milwaukee. Kirilenko left Utah's last game in the second half after straining his right calf.
Okur and Kirilenko are the team's third- and fourth-leading scorers and combine for 25 points and 11.4 rebounds per game.
Reserve Ronnie Price was also out for the second straight game with a bruised right wrist.
Earlier in the day, the Jazz signed swingman Othyus Jeffers to a second 10-day contract.