  Measurements of the off-shell Higgs boson production cross section in gg (-->
h*) --> ZZ have recently been used by the CMS and ATLAS collaborations to
indirectly constrain the total width of the Higgs boson. I point out that the
interpretation of these measurements as a Higgs width constraint can be
invalidated if additional neutral Higgs boson(s) are present with masses below
about 350 GeV.
