  For stochastic conservation laws driven by a semilinear noise term, we
propose a generalization of the Kru\v{z}kov entropy condition by allowing the
Kru\v{z}kov constants to be Malliavin differentiable random variables.
Existence and uniqueness results are provided. Our approach sheds some new
light on the stochastic entropy conditions put forth by Feng and Nualart [J.
Funct. Anal., 2008] and Bauzet, Vallet, and Wittbold [J. Hyperbolic Differ.
Equ., 2012].
