A highly regarded prospect, Stevens batted .314 with 19 home runs for the Edmonton Trappers in 1991. The Angels considered him heir apparent to popular but light-hitting first baseman Wally Joyner. However, in parts of three seasons he hit just .225 with little power.
After a three-year absence from the majors, including an American Association MVP season in 1996 where he hit 32 home runs, Stevens resurfaced with the Texas Rangers with more success. He batted .300 for the 1997 Rangers, and had five consecutive 20 home run seasons with the Rangers and Expos.