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 .