Will Allen had doubled and had three hits, and Sikes Orvis homered as had two hits as the Rebels collected 15 hits on the night.
Ole Miss scored six runs in the third inning and cruised to a big win in Game 1.
The Rebels got seven innings from starter Chris Ellis, who scattered five hits and three walks.
Ole Miss was able to save the top arms in the bullpen – including Aaron Greenwood who made the trip after missing the two previous series – and closed the game with Matt Denny, who gave up three hits and two runs over the last two innings.
The Rebels, now 11-8 in the SEC, had lost three of their last four going into the game and had struggled offensively with just nine hits and three runs combined in losses to LSU last Saturday and Mississippi State on Tuesday.
They go a series win in Game 2 Saturday at noon.