  The identity of Dark Matter (DM) is one of the most active topics in particle
physics today. Supersymmetry (SUSY) is an extension of the standard model (SM)
that could describe the particle nature of DM in the form of the lightest
neutralino in R-parity conserving models. We focus on SUSY models that solve
the hierarchy problem with small fine tuning, and where the lightest SUSY
particles ($\tilde{\chi}_{1}^{0}$, $\tilde{\chi}_{1}^{\pm}$,
$\tilde{\chi}_{2}^{0}$) are a triplet of higgsino-like states, such that the
mass difference $\Delta m(\tilde{\chi}^{0}_{2},\tilde{\chi}^{0}_{1})$ is 2-50
GeV. We perform a feasibility study to assess the long-term discovery potential
for these compressed SUSY models with higgsino-like states, using vector boson
fusion (VBF) processes in the context of proton-proton collisions at $\sqrt{s}
= 13$ TeV, at the CERN Large Hadron Collider. Assuming an integrated luminosity
of 3000 fb$^{-1}$, we find that stringent VBF requirements, combined with large
missing momentum and one or two low-$p_{T}$ leptons, is effective at reducing
the major SM backgrounds, leading to a 5$\sigma$ (3$\sigma$) discovery reach
for $m(\tilde{\chi}^{0}_{2}) < 180$ $(260)$ GeV, and a projected 95\%
confidence level exclusion region that covers $m(\tilde{\chi}^{0}_{2})$ up to
385 GeV, parameter space that is currently unconstrained by other experiments.
