Oklahoma led 74-61 late in the third, helped by 37 points and 14 rebounds from Durant.
But Durant could manage only one point in the fourth and the Blazers took advantage to rally for victory, Damian Lillard providing good support with 21 points and 11 assists.
Paul George scored 21 points to help the Indiana Pacers to their fifth straight win, 91-76 over the Cleveland Cavaliers.
Roy Hibbert added 19 points for the Pacers, who outscored their opponents 26-10 in the fourth quarter.
Paul Millsap's big effort lifted the Atlanta Hawks to a 92-91 win over the Boston Celtics.
Millsap recorded season highs in points (34) and rebounds (15), while Kyle Korver extended his NBA-record three-pointer streak to 101 games.
James Harden had 38 points and 10 rebounds but it was not enough to prevent the Houston Rockets losing 110-106 to the Sacramento Kings.
Rudy Gay scored 25 points to lead six Kings in double figures.
Brandon Knight poured in a career-high 37 points to lift the Milwaukee Bucks to a 94-79 victory over the Los Angeles Lakers.
Tony Parker scored 18 points in the San Antonio Spurs' 113-92 win over the Brooklyn Nets, while there were also victories for the Golden State Warriors and the Toronto Raptors.