UCLA plays Friday and Saturday in Lakewood and Sunday at Long Beach State.
UCLA matched Nebraska's third-inning run with five of its own in Sunday's victory.
Freshman Johanna Grauer tossed a complete-game shutout with eight strikeouts in Saturday's victory.
Each of the top four spots in the lineup had a hit and RBI, while Allexis Bennett added three hits.
UCLA knocked off Indiana 7-4 before falling to #25 Texas 5-3 on Thursday in Cathedral City.