  We present a possible solution to the reported OPERA anomaly for the speed of
neutrinos, based on the idea that it is a local effect caused by a scalar field
sourced by the earth. The coupling of the scalar to neutrinos effectively
changes the background metric where neutrinos propagate, leading to
superluminality. The strength of the coupling is set by a new mass scale, which
should be at $1\, {\rm TeV}$ to account for the OPERA anomaly. Moreover, if
this scenario is valid, the neutrino velocity depends on the baseline distance
between the emission and detection points in such a way that superluminal
signals turn to subluminal ones for baseline distances roughly larger than the
earth radius.
