  It is shown whether Higgs inflation can be saved with high-scale
supersymmetry critically depends on the magnitude of non-minimal coupling
constant $\xi$. For small $\xi \leq 500$, the threshold correction at scale
$M_{P}/\xi$ is constrained in high precision.Its magnitude is in the narrow
range of $(-0.03, -0.02)$ and $(-0.05, -0.04)$ for the wino and
higgsino/singlino dark matter, respectively. While in the large $\xi$-region
with $\xi \geq 10^{4}$, such high-scale supersymmetry is excluded by too large
threshold correction as required by Higgs inflation.
