Tennessee improved to 19-12 overall and 3-7 in the SEC while LSU dropped to 22-11 and 3-8. The teams conclude the series at 11:30 a.m. CDT Sunday.
Junior right-hander Derik Olvey (5-1) is scheduled to start on the mound for LSU while Tennessee will counter with freshman right-hander Josh Lindblom (4-2).
Cobb (6-1) held the Tigers to a season-low four hits Saturday while recording one walk and seven strikeouts. The shutout was the first for Tennessee against LSU in the 55-game history of the series.
Cobb's effort was the first shutout suffered by LSU since April 1, 2005, when Alabama blanked the Tigers, 4-0, in Tuscaloosa.
Meanwhile, the Volunteers pounded out 14 hits against three LSU pitchers, including a 5-for-5 performance by UT shortstop Tony Delmonico.
Tennessee struck for four runs in the second inning to grab a 4-0 lead against LSU starter Darryl Shaffer (2-1). Shaffer, a true freshman making his first career collegiate start, was pressed into action after scheduled starting pitcher Clay Dirks was suspended for a violation of team rules.
The Vols sent nine men to the plate in the second-inning uprising, which was highlighted by first baseman Chris Kemp's two-run double.
Tennessee added two runs in the third against LSU reliever Edgar Ramirez as Delmonico and centerfielder Julio Borbon provided run-scoring singles.
Delmonico delivered another RBI single in the fifth before second baseman Michael Rivera launched a two-run homer in the seventh to account for the final margin.
Shaffer was charged with the loss as he allowed four runs on five hits in 1.2 innings with walks and one strikeout.
Tigers slide into last place in SEC West
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