Yao left Saturday’s game against Denver with a sprained left knee after playing just 11 minutes. He is listed as day-to-day and will be re-evaluated prior to the game.
Yao is averaging 13.0 points and 8.0 rebounds and leads all Western Conference centers in All-Star voting. He will wear a brace on the knee when he does return to the floor.
Houston has won three of its last four games and held on for an 87-85 victory over lowly Denver.
Houston has won four of its last five games at the Compaq Center, where it is 14-5 this season.
Boston fell to 1-2 on its four-game road trip with an 81-80 loss to the San Antonio Spurs on Sunday.
Boston shot just 42 percent (31-of-74) overall and 6-of-23 from 3-point range en route to its seventh loss in nine games.
The Rockets have won three straight meetings with the Celtics and five in a row at home.