The three-day tournament hosts three teams, two from northern California and one from southern California.
SF State and UC Riverside automatically qualified for the regional playoffs after claiming their respective conferences.
The Gators (36-17-1 overall, 25-10 conference) clinched the Northern California Athletic Conference last week when they swept Sonoma State in a doubleheader, 4-1, 6-5.
SF State finished the season with its best overall record since 1981 when it finished 38-14-1.
UC Riverside (41-14 overall, 25-7 conference) won the California Collegiate Athletic Conference title.
If the Gators lose their opener Friday morning, they will play UC Davis on Friday at 3 p.m. But if they are victorious, they will play Davis on Saturday at 11 a.m.
The winner of the regional tournament will advance to the Division II College World Series in Montgomery, Ala. beginning May 27.