Cotton's late production complemented five rebounds, fours assists, two steals and a blocked shot from the junior, who boosted the Shockers to the first 10-0 start in school history.
Cleanthony Early helped out with 13 points and Darius Carter added 11 points and 14 rebounds as Wichita State avenged a loss to the Volunteers last year in Knoxville.
Tennessee (6-3) could manage just 38.5 percent shooting.
Jordan McRae scored 26 points for the Vols.
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