  We report neutron scattering measurements on low energy ($\hbar\omega \sim
5$~meV) magnetic excitations from a series of
Fe$_{1+y-z}$(Ni/Cu)$_{z}$Te$_{1-x}$Se$_{x}$ samples which belong to the "11"
Fe-chalcogenide family. Our results suggest a strong correlation between the
magnetic excitations near (0.5,0.5,0) and the superconducting properties of the
system. The low energy magnetic excitations are found to gradually move away
from (0.5,0.5,0) to incommensurate positions when superconductivity is
suppressed, either by heating or chemical doping, confirming previous
observations.
