Durant was 19 for 21 at the line, with coach Vinny Del Negro telling official Kevin Fehr after one call: "He doesn't need any help scoring."
"Those guys are physical and (I was) just trying to fight through it. Just trying to get there, man," Durant said. "I think early on, me driving and me getting into the paint, I was a little hesitant in the second half because I was turning the ball over.
"But I just tried to keep going. My teammates told me to just keep being aggressive, and that's what I tried to do."
The Thunder pushed ahead with a string of eight straight made baskets in the first quarter, and the lead stretched to 26-16 after Westbrook's extra effort turned a potential turnover into a three-point play for Thabeet.
The Clippers finally got back within striking distance early in the fourth, with Thunder coach Scott Brooks yelling to Durant to get off the bench with Los Angeles back within 78-75.
With Durant back in, Oklahoma City responded with the next six points to stabilize momentarily before the Clippers' final charge.