OMAHA, Neb. — Florida got a dominant performance from Brady Singer, a big defensive play when LSU was threatening and just enough offense.

Now, after a 4-3 win in Game 1 of the College World Series on Monday night, the Gators are one win from their first national championship in baseball.

But with LSU all-time wins leader Jared Poche’ starting tonight and first-round draft pick Alex Lange available if there’s a Game 3, the Tigers believe this best-of-three series matching Southeastern Conference rivals is just getting started.

“We’ve got to play better if we want to win this thing,” Florida coach Kevin O’Sullivan said. “It’s not near over. We got six hits tonight, and Brady had to pitch his tail off. It’s exciting to have Game 1 under our belt ... but we haven’t crossed the line yet.”

LSU’s Greg Deichmann said he and his teammates haven’t had their confidence dented. Poche’ (12-3) will pitch against Tyler Dyson (3-0) tonight.

“We’re not hanging our heads about anything,” he said. “We had a lot of great stuff we did tonight. We had a couple of tough breaks that didn’t go our way. We’re going to come out tomorrow with a lot of positivity, energy and get after it.”

Singer struck out a career-high 12 in seven innings before turning the game over to closer Michael Byrne, who picked up his nation-leading 19th save for the Gators (51-19). The Gators improved to 19-7 in one-run games.

Singer relied on his fastball the first time through LSU’s batting order and mixed in sliderslater.

His strikeout total was the highest by a single pitcher in a CWS final.