  It is predicted that a vortex in a topological superconductor contains a
Majorana zero mode (MZM). The confirmative Majorana signature, i.e., the
$2e^2/h$ quantized conductance, however is easily sabotaged by unavoidable
interruptions, e.g. instrument broadening, non-Majorana signal, and extra
particle channels. We propose to avoid the signal interruption by introducing
disorder-induced dissipation that couples to the tip-sample tunneling. With
dissipation involved, we highlight three features, each of which alone can
provide a strong evidence to identify MZM. Firstly, dissipation suppresses a
finite-energy Caroli-de Gennes-Matricon (CdGM) conductance peak into a valley,
while it does not split MZM zero-bias conductance peak. Secondly, we predict a
dissipation-dependent scaling feature of the zero-bias conductance peak.
Thirdly, the introduced dissipation manifests the MZM signal by suppressing
non-topological CdGM modes. Importantly, the observation of these features does
not require a quantized conductance value $2e^2/h$.
