McHale has been away since Saturday. Royce White, a first-round draft pick, is feuding with the team over how it has accommodated his anxiety disorder, and is not with the team either.
The Blazers, who snapped a four-game losing streak with a 103-86 victory over Sacramento on Wednesday, leaned heavily on Batum's outside shooting and Aldridge under the basket until Lillard took over with 4:29 left in regulation and Portland trailing 103-98. The 6-foot-3 point guard hit six free throws, a 3-pointer, a driving layup and then put the Blazers up 111-108 with a jumper after faking Jeremy Lin up in the air.
Marcus Morris then nailed a 3-pointer for Houston with 10 seconds left to send the game to overtime.
The Blazers have struggled defensively all season, allowing 100 points or more in six of their first nine games. They entered having allowed opponents to shoot 49.6 percent.
Mindful of Portland's defensive deficiencies, the Rockets pushed the ball in transition. The Rockets had a 17-1 fast-break point advantage in the first half and they shot 55 percent before the break.
Houston led 51-35 in the first half and was up 13 in third quarter. But Batum scored 14 points in the period, including nine in a row.
"He had serious momentum going with him, and everything he was throwing up was going in," Parsons said. "If we look back at the film, that was pretty good 'D.' That's just how it goes sometimes."
NOTES: Portland beat the Rockets 95-85 in overtime on Nov. 3 in Houston. Aldridge had 27 points and 11 rebounds in that game. ... Harden is averaging 32.3 points in four road games this season. . Batum had 35 points against San Antonio on Nov. 10. Originally credited with 33, he was later awarded a basket, which had been given to Wesley Matthews.