  The increasing tension between the different local direct measurements of the
Hubble expansion rate and that inferred from the Cosmic Microwave Background
observation by $\Lambda$-Cold-Dark-Matter model could be a smoking gun of new
physics, if not caused by either observational systematics or local bias. We
generalize previous investigation on the local bias from a local void by
globally fitting the Pantheon sample over all parameters in the radial profile
function of a local void described by an inhomogeneous but isotropic
Lema\^{i}tre-Tolman-Bondi metric with a cosmological constant. Our conclusion
strengths the previous studies that the current tension on Hubble constant
cannot be saved by a local void alone.
