We investigate QCD sum rules for vector currents in the rho meson channel i
n the nuclear medium. For increased sensitivity, we subtract out the vacuum
contributions. With a saturation scheme often considered in the literature
, we find these "subtracted" sum rules to be unstable. It indicates the imp
ortance of other contributions neglected in the saturation scheme. These in
clude more Landau singularities at low energy, additional operators in the
medium, and possibly the in-medium width of the rho meson.