Joshua Spiers, Adom Jacko and Jr Steven Haney had 10 points apiece as Loyola Marymount (4-2) picked up its first road win of the season. Tutu also had three steals and three assists.
Neither team shot well from the floor but the Lions made 10 of 31 (32.3 percent) from long range. Southeast Missouri (0-5) made just 4 of 19 (21 percent) from beyond the arc in its home opener.
Loyola Marymount held a 33-31 lead at the break and was ahead 47-37 with 15:34 remaining following Spiers' trey. The Lions pushed their lead to 64-49 with 4:47 left.
Antonius Cleveland was 6 of 11 from the floor for 17 points to lead the Redhawks. Ladarius Coleman grabbed 10 rebounds.