The Tigers (9-2) went 4-0 last week with a win against Nicholls State and a sweep of the Fordham Rams.
The Florida Gators are No. 1 in both polls and are joined by Texas A&M and Vanderbilt in the top five of each poll.
The SEC is well represented in the polls with Ole Miss, Arkansas, Alabama and Mississippi State ranked in the top 25 of both polls.
Louisiana-Lafayette (8-4) checks in at No. 16 in the Baseball America poll.
LSU will play five games this week at the Box. The Tigers host Louisiana Tech on Tuesday, McNeese State on Wednesday and Ball State will play a three-games series against the Tigers starting Friday night.