Mario Hamuy (Carnegie Observatories) reports spectroscopic observations made by Jose Maza (U. Chile) on Jan. 9 and 10 UT with the Las Campanas Observatory Baade 6.5-m telescope and B&C spectrograph in the wavelength range 320-920 nm. The spectrum of SN2003H in NGC 2207 shows a red continuum with a prominent absorption at 575.1 nm. If this is He I 587.6 nm the expansion velocity is 9100 km/s. A shallower blend of absorption lines can be seen at 600-670 nm, and an isolated absorption centered at 690 nm. The Ca II triplet displays a prominent P-Cygni profile. This spectrum has some similarity to that of the Type Ib SN 1984L before maximum light, but the continuum is much redder. There is no evidence for strong Na I D interstellar lines, so dust extinction must be small and the red color is probably intrinsic to SN 2003H.