Down by five runs after six innings, the Sooners scored two in the seventh, one in the eighth and then another run in the ninth to force extras.
Leading off the bottom of the 10th against Tech’s ace, Tate McKee, Sooner senior Dalton Tockey hammered a 3-2 pitch over 450 feet into dead center for the walk-off win.
The No. 13 Cornhuskers were unable to advance through a loaded group after sneaking past South Dakota State 4-1 in the opener.
They subsequently lost 6-3 to eventual regional winner Mississippi and 11-8 to Arizona State in Sunday’s elimination game.
Nebraska finished second in the Big Ten behind UCLA, won 42 games and went 23-1 at home during the regular season, and was named a regional host for the first time since 2008.
For the first time ever, none of the eight teams in the previous season’s World Series advanced to the super regionals.
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Four missed the tournament entirely in Arizona, defending champion LSU, Louisville and Murray State, while UCLA, Coastal Carolina, Arkansas and Oregon State failed to get out of the weekend.