We use Chandra observations to estimate the accretion rate of hot gas onto the central supermassive black hole in four giant ( of stellar mass M _ { * } \sim 10 ^ { 11 } -10 ^ { 12 } M _ { \sun } ) early-type galaxies located in the Virgo cluster . They are characterized by an extremely low radio luminosity , in the range L \lesssim 3 \times 10 ^ { 25 } -10 ^ { 27 } \ > { erg } { s } ^ { -1 } { Hz } ^ { -1 } . We find that , accordingly , accretion in these objects occurs at an extremely low rate , 0.2 - 3.7 \times 10 ^ { -3 } M _ { \odot } yr ^ { -1 } , and that they smoothly extend the relation accretion - jet power found for more powerful radio-galaxies . This confirms the dominant role of hot gas and of the galactic coronae in powering radio-loud active galactic nuclei across \sim 4 orders of magnitude in luminosity . A suggestive trend between jet power and location within the cluster also emerges .