Serge Ibaka added 15 points for the Thunder, who had their starting five together for just the second time since Christmas Day. Westbrook had sat out two of the previous three games and has missed 34 games this season with a variety of injuries.
Blake Griffin had 30 points and 12 rebounds, and Chris Paul added 25 points and eight assists for the Clippers, who could have owned the tiebreaker over the Thunder if they had won. Instead, the teams split their season series 2-2.
Los Angeles rallied from a 15-point deficit in the fourth to twice get within a point, but the Clippers' only lead was by one point in the first quarter.
The Clippers' big run had them trailing 94-93, with Paul sandwiching 3-pointers around Griffin's free throw and DeAndre Jordan dunking off Darren Collison's miss to cap a 14-0 run with 5:03 to play. Jordan finished with 10 points and 12 rebounds.
Griffin missed two free throws that would have tied the game at 97.
Westbrook's putback dunk off Durant's miss kept the Thunder ahead 99-95. Durant's 3-pointer pushed their lead to 102-97 before Collison answered with a 3 to get the Clippers within two.
Matt Barnes fouled Durant, who made both for a 104-100 lead. Paul missed the first and made the second free throw with 38 seconds left to keep the Clippers down by three.
The final 38 seconds were a free throw contest, with the Thunder making 3 of 4 to close out the win.
The Thunder are second in the West standings with four games remaining in the regular season; the Clippers are third with three to play. They could potentially meet in the second round of the playoffs.
Oklahoma City opened the third on a 14-4 run, with four different players scoring in extending the lead to 73-58. Durant scored four in a row to push the Thunder's lead to 81-64.
Defensively, the Thunder forced the Clippers into a mistake-prone, eight-minute stretch that included four turnovers — two each by Griffin and Paul — and a series of missed shots.
Led by five points from Paul and three by Griffin, the Clippers ran off nine in a row to get within eight before Reggie Jackson's 3-pointer sent the Thunder into the fourth leading 85-73.
The Thunder led by 15 points when the Clippers' offense put together a 20-10 run to trail 59-54 at halftime. Jordan starred in his own highlight reel, dunking three times, twice off alley-oop passes. Griffin got in a slam of his own and Hedo Turkoglu hit a 3-pointer that beat the shot clock and helped bring the Clippers back within single digits.
Notes: The Thunder improved to 8-6 in the second game of a back-to-back. They were playing their 14th such set this season. ... There's still no timetable for the return of Clippers G Jamal Crawford (sore left Achilles' tendon) and F Danny Granger (strained left hamstring). Crawford has missed five straight games and Granger six. ... The Clippers are one win away from tying the franchise record of 56 wins in the regular season, set on the last day of the season a year ago. ... Rapper Drake and singer Rihanna, sitting separately, and former NBA guard Baron Davis attended the game.