  In this note, we extend the results about the fluctuations of the matrix
entries of regular functions of Wigner random matrices obtained in
arXiv:1103.3731 [math.PR] to Wigner matrices with non-i.i.d. entries provided
certain Lindeberg type conditions for the fourth moments of the off-diagonal
entries and the second moments of the diagonal entries are satisfied. In
addition, we relax our conditions on the test functions and require that for
some $s>3 \ \int (1+|k|)^{2s}\*|\hat{f}(k)|^2 \* dk <\infty.$
