  We present results from an extensive survey of molecular gas in nearby dwarf
galaxies. This survey consists of a single-dish search for CO emission at the
UASO Kitt Peak 12m telescope and interferometric follow-up using the
Berkeley-Illinois-Maryland Array. We have detected 41 new sources,
approximately doubling the number of detections of such objects in the
literature. In this paper we discuss two results from the survey that lead us
to agree with recent suggestions that, above a metallicity of 12+log[O/H]~8.0,
there appears to be little variation in the CO-to-H2 conversion factor for
star-forming molecular gas. We find two major pieces of evidence for this
result: 1) the virial mass to molecular mass ratio found from the
interferometer observations in a variety of sources shows no clear trend with
metallicity; and 2) dwarf galaxies appear to exhibit a CO-to-radio continuum
relationship that is similar to that observed in larger, presumably metal-rich,
galaxies leaving little room for a large systematic variation of the CO-to-H2
conversion factor with metallicity in the star-forming gas.
