Berg was UCLA's first ever recipient of the NCBWA Stopper of the Year Award in 2013.
Freshman right-hander Griffin Canning finished second in the country in strikeout-to-walk ratio.
UCLA is eliminated and finishes the season with an overall record of 45-16.
Kevin Kramer, Darrell Miller Jr. and Ty Moore combined for eight hits in the win.
A pair of home runs helped propel the Bruins to a crucial victory over the Roadrunners.