  We discuss CO spectral line data of a volume-limited sample of 23 nearby
(z<0.03) low luminosity radio galaxies, selected from the B2 catalogue. We
investigate whether the CO properties of our sample are correlated with the
properties of the host galaxy, and in particular with the dust component. We
find strong evidences for a physical link between the dust disks probed by HST
in the galaxy cores and the molecular gas probed by the CO spectral lines,
which in two cases display a double-horn shape, consistent with ordered
rotation. On the other hand, from a preliminary comparison with other samples
of radio sources we find no significant differences in molecular gas properties
between FRI and FRII radio sources. In order to confirm the suggestion that the
CO is dynamically associated with the core dust disks, the most suitable
sources of our sample will be proposed for interferometric imaging at PdBI.
