  We study standard electroweak/Higgs processes at the high-energy lepton
colliders ILC and CLIC. We identify a subset of three operators in the SMEFT
that give leading contributions to these processes at high energies. We then
perform a `high-energy fit' including these operators. Our final bounds surpass
existing LEP bounds and HL-LHC projections by orders of magnitude. Furthermore,
we find that these colliders can probe scales up to tens of TeV, corresponding
to the highest scales explored in electroweak/Higgs physics.
