Sensitive 21cm H I observations have been made with the Green Bank Telescope toward the newly-discovered Local Group dwarf galaxy Hydra II , which may lie within the leading arm of the Magellanic Stream . No neutral hydrogen was detected . Our 5 \sigma limit of M _ { HI } \leq 210 M _ { \odot } for a 15 km s ^ { -1 } \ > linewidth gives a gas to luminosity ratio M _ { HI } /L _ { V } \leq 2.6 \times 10 ^ { -2 } M _ { \odot } L _ { \odot } ^ { -1 } . The limits on H I mass and M _ { HI } /L _ { V } are typical of dwarf galaxies found within a few hundred kpc of the Milky Way . Whatever the origin of Hydra II , its neutral gas properties are not unusual .