Ole Miss (44-18) will either travel to Louisiana-Lafayette or host Mississippi State in the Super Regional round this weekend.
Washington (41-17-1) threw five pitchers in the game. Alex Nesbitt (0-1) took the loss.
Ole Miss scored first when freshman Colby Bortles hit a solo homer in the second. Washington responded with a run on Branden Berry's single in the third and then pulled ahead 2-1 on Brian Wolfe's sacrifice fly in the fifth.
Bortles doubled home a run in the sixth to tie the game 2-2.
Scott Weathersby (2-1) earned the win for Ole Miss.
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