  In this letter we propose that the X-ray and the TeV observations in the
vicinity of Geminga can be understood in the framework of anisotropic diffusion
of injected electrons/positrons. This interpretation only requires the
turbulence in the vicinity of Geminga to be sub-Alfv\'enic with the local mean
magnetic field direction approximately aligned with our line of sight towards
Geminga, without invoking extreme conditions for the environment, such as an
extremely small diffusion coefficient and a weak magnetic field of strength
$<1\mu$G as suggested in previous literature.
