  We study the LHC associated production of a Higgs boson and a W^+W^-
vector-boson pair at 14 TeV, in the Standard Model and beyond. We consider
different signatures corresponding to the cleanest H and W decay channels, and
discuss the potential of the high-luminosity phase of the LHC. In particular,
we investigate the sensitivity of the HWW production to possible anomalous
Higgs couplings to vector bosons and fermions. Since the b-quark initiated
partonic channel contributes significantly to this process, we find a moderate
sensitivity to both the size and sign of an anomalous top-quark Yukawa
coupling, because perturbative unitarity in the standard model implies a
destructive interference in the b b-bar subprocess. We show that a combination
of various signatures can reach a ~9 standard-deviation sensitivity in the
presently allowed negative region of the top-Higgs coupling, if not previously
excluded.
