  Teissier problem aims to characterize the equality case of
Khovanskii-Teissier type inequality for $(1,1)$-classes on a compact K\"ahler
manifold. When each of the involved $(1,1)$-classes is assumed to be nef and
big, this problem has been solved by the previous works of
Boucksom-Favre-Jonsson, Fu-Xiao and Li. In this note, we shall settle the case
that the involved $(1,1)$-classes are just assumed to be nef. We also extend
the results to some settings where some of the $(1,1)$-classes are not
necessarily nef. By constructing examples, it is shown that our results are
optimal.
