Gasol had 20 points and 15 rebounds for Chicago, which snapped a three-game skid. Derrick Rose added 20 points for the Bulls, who went on a 40-11 run after Davis went out.
The dunk that drove Davis from the game was a two-handed jam of Tyreke Evans' lob. Davis' body swung like a pendulum as he held the rim, then the 6-foot-10, 240-pound forward fell horizontally as he lost his grip.
Davis stayed in the game briefly before taking himself out with the score tied at 35 and 4:16 left in the first half.
Tony Snell scored 19 points and Jimmy Butler 18 for Chicago.
Evans had 15 points for New Orleans.
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