Tate (back) has been ruled out for Saturday's game against the Jazz, Ben DuBose of USA Today reports.
Tate recorded three points (1-5 FG, 1-2 3Pt, 0-2 FT), five rebounds, three assists, one block and one steal in 27 minutes during Thursday's 105-98 loss to the Warriors.
Tate is in the starting lineup for Monday's game against the Knicks, Vanessa Richardson of Space City Home Network reports.
Tate will come off the bench for Monday's game against the Pistons.
Tate accumulated 12 points (3-6 FG, 2-3 3Pt, 4-8 FT), four rebounds and one steal over 18 minutes during Thursday's 119-115 win over the Grizzlies.
Tate didn't score (0-1 FG, 0-1 3Pt), but managed to grab four rebounds and block a shot in 18 minutes of play in the loss to the Celtics on Friday.
Tate (illness) isn't listed on the Rockets' injury report for Wednesday's game against the Mavericks.
Tate (illness) has been ruled out for Sunday's game against the Heat.
Tate is questionable for Sunday's game against the Heat due to an illness.
Tate is questionable for Wednesday's game against the Warriors due to a lower back injury.