The Rebels welcomed Austin Peay to Swayze Field on Tuesday. They won the midweek contest 6-3.
The Governors are 34-10 this season and came into Oxford on a seven-game win streak.
After Ole Miss got a double play to end the top of the first, they threatened in the bottom half with two runners on. Judd Utermark was unable to drive in the game’s first run and fouled out to the catcher.
In the bottom of the second, Austin Peay left-handed pitcher Chance Cox struck out the first two Rebels before Austin Fawley took him deep to make it 1-0.