We present results from Chandra observations of the 3C/FR I sample of low luminosity radio-galaxies . We detected a power-law nuclear component in 12 objects out of the 18 with available data . In 4 galaxies we detected nuclear X-ray absorption at a level of N _ { H } \sim ( 0.2 - 6 ) \times 10 ^ { 22 } cm ^ { -2 } . X-ray absorbed sources are associated with the presence of highly inclined dusty disks ( or dust filaments projected onto the nuclei ) seen in the HST images . This suggests the existence of a flattened X-ray absorber , but of much lower optical depth than in classical obscuring tori . We thus have an un-obstructed view toward most FR I nuclei while absorption plays only a marginal role in the remaining objects . Three pieces of evidence support an interpretation for a jet origin for the X-ray cores : i ) the presence of strong correlations between the nuclear luminosities in the radio , optical and X-ray bands , extending over 4 orders of magnitude and with a much smaller dispersion ( \sim 0.3 dex ) when compared to similar trends found for other classes of AGNs , pointing to a common origin for the emission in the three bands ; ii ) the close similarity of the broad-band spectral indices with the sub-class of BL Lac objects sharing the same range of extended radio-luminosity , in accord with the FR I/BL Lacs unified model ; iii ) the presence of a common luminosity evolution of spectral indices in both FR I and BL Lacs . The low luminosities of the X-ray nuclei , regardless of their origin , strengthens the interpretation of low efficiency accretion in low luminosity radio-galaxies .