  We determine the anomalous dimension matrix for the transversity operator
mixing into total derivative operators in the limit of a large number of quark
flavors $n_f$ to fourth order in the strong coupling $\alpha_s$ in the
$\overline{\text{MS}}$-scheme. This is achieved by using a consistency relation
between the operator anomalous dimensions, which follows from the
renormalization structure of the operators in the chiral limit.
