Casey Jackson had 10 points and 16 rebounds, and Cisti Greenwalt added 15 points and 11 boards. Texas Tech (10-0) closed on an eight-point run to snap Washington's 18-game home winning streak.
Giuliana Mendiola scored 27 points and Andrea Lalum had 15 for the Huskies (6-2), who nearly beat the Lady Raiders at their own game by holding Texas Tech to a season-low 36.4 percent shooting.
Jia Perkins scored 16 for Texas Tech, which returned to action for the first time since beating Pacific 100-39 on Dec. 8. The Lady Raiders had been outscoring opponents by an average 32.9 points.
They also came in as the nation's top defensive team, holding opponents to 49.5 points and only 29.7 percent shooting.
The Huskies, who shot 43 percent, fell just short after Lalum missed a late 3-point try and Mendiola lost control of the ball in the paint as the clock ran down. Dabbs came away with it and hit two foul shots for her only points.
It was an exciting night for Washington fans, who sensed an upset when Mendiola hit four free throws as the Huskies led 70-66 with 1:55 remaining.
Mendiola scored 10 of Washington's first 14 points to open the second half. She swished a 3-pointer from the top of the arc to tie it at 52 with 12 minutes to go, just when Texas Tech seemed close to breaking it open.
The Raiders made another surge, though, going ahead 59-54 after Alesha Robertson's jumper with 9:41 to play.
The Huskies scored the next four points and held Texas Tech to one field goal over a 5:17 span, taking a 66-62 lead on two inside baskets by freshman Cameo Hicks, a jumper by Lalum and a layup by Mendiola.
Perkins, one of the nation's top players, didn't have her best night.
She scored 14 points in the first half on 7-of-10 shooting but missed her first five shots after the break. She didn't score again until a layup that tied it at 62 with 2:43 to play, then picked up her fourth foul 10 seconds later.
The Huskies trailed 39-38 at the break and shot 50 percent, despite Mendiola's 4-for-11 shooting from the floor.
Huskies Nearly Upset No. 4 Texas Tech, 74-70
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