  We present criteria for statistical stability of attracting sets for vector
fields using dynamical conditions on the corresponding generated flows. These
conditions are easily verified for all singular-hyperbolic attracting sets of
$C^2$ vector fields using known results, providing robust examples of
statistically stable singular attracting sets (encompassing in particular the
Lorenz and geometrical Lorenz attractors). These conditions are shown to hold
also on the persistent but non-robust family of contracting Lorenz flows (also
known as Rovella attractors), providing examples of statistical stability among
members of non-open families of dynamical systems. In both instances, our
conditions void the use of detailed information about perturbations of the
one-dimensional induced dynamics on specially chosen Poincar\'e sections.
